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Finding the Fourth Proportional to 475,595.84, 656,342.96 and 284,572.64

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Solution

The fourth proportional to 475,595.84, 656,342.96 and 284,572.64 is: 392,722.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,595.84 : 656,342.96 = 284,572.64 : x
  2. Step 2: Convert to fraction form
    475,595.84/656,342.96 = 284,572.64/x
  3. Step 3: Cross multiply
    475,595.84x = 656,342.96 × 284,572.64
  4. Step 4: Simplify right side
    475,595.84x = 186,777,248,872.61
  5. Step 5: Solve for x
    x = 186,777,248,872.61/475,595.84
  6. Step 6: Final answer
    x = 392,722.63

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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.