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Finding the Fourth Proportional to 413,537.79, 570,805.92 and 241,502.16

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Solution

The fourth proportional to 413,537.79, 570,805.92 and 241,502.16 is: 333,345.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,537.79 : 570,805.92 = 241,502.16 : x
  2. Step 2: Convert to fraction form
    413,537.79/570,805.92 = 241,502.16/x
  3. Step 3: Cross multiply
    413,537.79x = 570,805.92 × 241,502.16
  4. Step 4: Simplify right side
    413,537.79x = 137,850,862,620.79
  5. Step 5: Solve for x
    x = 137,850,862,620.79/413,537.79
  6. Step 6: Final answer
    x = 333,345.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.