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Finding the Fourth Proportional to 474,244.84, 710,755.89 and 413,207.70

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Solution

The fourth proportional to 474,244.84, 710,755.89 and 413,207.70 is: 619,278.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,244.84 : 710,755.89 = 413,207.70 : x
  2. Step 2: Convert to fraction form
    474,244.84/710,755.89 = 413,207.70/x
  3. Step 3: Cross multiply
    474,244.84x = 710,755.89 × 413,207.70
  4. Step 4: Simplify right side
    474,244.84x = 293,689,806,568.35
  5. Step 5: Solve for x
    x = 293,689,806,568.35/474,244.84
  6. Step 6: Final answer
    x = 619,278.87

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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.