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Finding the Fourth Proportional to 456,821.80, 685,232.70 and 307,522.60

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Solution

The fourth proportional to 456,821.80, 685,232.70 and 307,522.60 is: 461,283.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,821.80 : 685,232.70 = 307,522.60 : x
  2. Step 2: Convert to fraction form
    456,821.80/685,232.70 = 307,522.60/x
  3. Step 3: Cross multiply
    456,821.80x = 685,232.70 × 307,522.60
  4. Step 4: Simplify right side
    456,821.80x = 210,724,541,509.02
  5. Step 5: Solve for x
    x = 210,724,541,509.02/456,821.80
  6. Step 6: Final answer
    x = 461,283.90

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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.