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Finding the Fourth Proportional to 567,058.56, 782,015.18 and 413,854.08

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Solution

The fourth proportional to 567,058.56, 782,015.18 and 413,854.08 is: 570,735.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,058.56 : 782,015.18 = 413,854.08 : x
  2. Step 2: Convert to fraction form
    567,058.56/782,015.18 = 413,854.08/x
  3. Step 3: Cross multiply
    567,058.56x = 782,015.18 × 413,854.08
  4. Step 4: Simplify right side
    567,058.56x = 323,640,172,864.93
  5. Step 5: Solve for x
    x = 323,640,172,864.93/567,058.56
  6. Step 6: Final answer
    x = 570,735.01

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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.