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Finding the Fourth Proportional to 456,014.40, 684,021.60 and 442,892.40

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Solution

The fourth proportional to 456,014.40, 684,021.60 and 442,892.40 is: 664,338.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,014.40 : 684,021.60 = 442,892.40 : x
  2. Step 2: Convert to fraction form
    456,014.40/684,021.60 = 442,892.40/x
  3. Step 3: Cross multiply
    456,014.40x = 684,021.60 × 442,892.40
  4. Step 4: Simplify right side
    456,014.40x = 302,947,968,075.84
  5. Step 5: Solve for x
    x = 302,947,968,075.84/456,014.40
  6. Step 6: Final answer
    x = 664,338.60

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.