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Finding the Fourth Proportional to 506,345.97, 759,892.77 and 240,107.38

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Solution

The fourth proportional to 506,345.97, 759,892.77 and 240,107.38 is: 360,338.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,345.97 : 759,892.77 = 240,107.38 : x
  2. Step 2: Convert to fraction form
    506,345.97/759,892.77 = 240,107.38/x
  3. Step 3: Cross multiply
    506,345.97x = 759,892.77 × 240,107.38
  4. Step 4: Simplify right side
    506,345.97x = 182,455,862,085.64
  5. Step 5: Solve for x
    x = 182,455,862,085.64/506,345.97
  6. Step 6: Final answer
    x = 360,338.33

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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.