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Finding the Fourth Proportional to 475,809.16, 656,570.70 and 284,818.44

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Solution

The fourth proportional to 475,809.16, 656,570.70 and 284,818.44 is: 393,021.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,809.16 : 656,570.70 = 284,818.44 : x
  2. Step 2: Convert to fraction form
    475,809.16/656,570.70 = 284,818.44/x
  3. Step 3: Cross multiply
    475,809.16x = 656,570.70 × 284,818.44
  4. Step 4: Simplify right side
    475,809.16x = 187,003,442,523.71
  5. Step 5: Solve for x
    x = 187,003,442,523.71/475,809.16
  6. Step 6: Final answer
    x = 393,021.95

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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.