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Finding the Fourth Proportional to 417,306.42, 575,830.05 and 247,507.38

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Solution

The fourth proportional to 417,306.42, 575,830.05 and 247,507.38 is: 341,528.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,306.42 : 575,830.05 = 247,507.38 : x
  2. Step 2: Convert to fraction form
    417,306.42/575,830.05 = 247,507.38/x
  3. Step 3: Cross multiply
    417,306.42x = 575,830.05 × 247,507.38
  4. Step 4: Simplify right side
    417,306.42x = 142,522,187,000.77
  5. Step 5: Solve for x
    x = 142,522,187,000.77/417,306.42
  6. Step 6: Final answer
    x = 341,528.86

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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.