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Finding the Fourth Proportional to 456,495.40, 684,743.10 and 438,124.60

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Solution

The fourth proportional to 456,495.40, 684,743.10 and 438,124.60 is: 657,186.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,495.40 : 684,743.10 = 438,124.60 : x
  2. Step 2: Convert to fraction form
    456,495.40/684,743.10 = 438,124.60/x
  3. Step 3: Cross multiply
    456,495.40x = 684,743.10 × 438,124.60
  4. Step 4: Simplify right side
    456,495.40x = 300,002,796,790.26
  5. Step 5: Solve for x
    x = 300,002,796,790.26/456,495.40
  6. Step 6: Final answer
    x = 657,186.90

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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.