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Finding the Fourth Proportional to 546,475.38, 820,024.14 and 359,574.90

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Solution

The fourth proportional to 546,475.38, 820,024.14 and 359,574.90 is: 539,567.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,475.38 : 820,024.14 = 359,574.90 : x
  2. Step 2: Convert to fraction form
    546,475.38/820,024.14 = 359,574.90/x
  3. Step 3: Cross multiply
    546,475.38x = 820,024.14 × 359,574.90
  4. Step 4: Simplify right side
    546,475.38x = 294,860,098,138.09
  5. Step 5: Solve for x
    x = 294,860,098,138.09/546,475.38
  6. Step 6: Final answer
    x = 539,567.03

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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.