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Finding the Fourth Proportional to 497,762.28, 746,646.42 and 123,785.32

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Solution

The fourth proportional to 497,762.28, 746,646.42 and 123,785.32 is: 185,678.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,762.28 : 746,646.42 = 123,785.32 : x
  2. Step 2: Convert to fraction form
    497,762.28/746,646.42 = 123,785.32/x
  3. Step 3: Cross multiply
    497,762.28x = 746,646.42 × 123,785.32
  4. Step 4: Simplify right side
    497,762.28x = 92,423,866,026.55
  5. Step 5: Solve for x
    x = 92,423,866,026.55/497,762.28
  6. Step 6: Final answer
    x = 185,678.73

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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.