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Finding the Fourth Proportional to 474,126.65, 709,440.37 and 284,702.38

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Solution

The fourth proportional to 474,126.65, 709,440.37 and 284,702.38 is: 426,002.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,126.65 : 709,440.37 = 284,702.38 : x
  2. Step 2: Convert to fraction form
    474,126.65/709,440.37 = 284,702.38/x
  3. Step 3: Cross multiply
    474,126.65x = 709,440.37 × 284,702.38
  4. Step 4: Simplify right side
    474,126.65x = 201,979,363,049.76
  5. Step 5: Solve for x
    x = 201,979,363,049.76/474,126.65
  6. Step 6: Final answer
    x = 426,002.97

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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.