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Finding the Fourth Proportional to 545,842.62, 814,925.89 and 417,085.06

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Solution

The fourth proportional to 545,842.62, 814,925.89 and 417,085.06 is: 622,694.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,842.62 : 814,925.89 = 417,085.06 : x
  2. Step 2: Convert to fraction form
    545,842.62/814,925.89 = 417,085.06/x
  3. Step 3: Cross multiply
    545,842.62x = 814,925.89 × 417,085.06
  4. Step 4: Simplify right side
    545,842.62x = 339,893,413,726.20
  5. Step 5: Solve for x
    x = 339,893,413,726.20/545,842.62
  6. Step 6: Final answer
    x = 622,694.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.