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Finding the Fourth Proportional to 525,044.01, 724,505.27 and 295,597.14

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Solution

The fourth proportional to 525,044.01, 724,505.27 and 295,597.14 is: 407,892.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,044.01 : 724,505.27 = 295,597.14 : x
  2. Step 2: Convert to fraction form
    525,044.01/724,505.27 = 295,597.14/x
  3. Step 3: Cross multiply
    525,044.01x = 724,505.27 × 295,597.14
  4. Step 4: Simplify right side
    525,044.01x = 214,161,685,726.93
  5. Step 5: Solve for x
    x = 214,161,685,726.93/525,044.01
  6. Step 6: Final answer
    x = 407,892.83

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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.