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Finding the Fourth Proportional to 509,729.97, 703,445.45 and 280,304.85

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Solution

The fourth proportional to 509,729.97, 703,445.45 and 280,304.85 is: 386,830.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,729.97 : 703,445.45 = 280,304.85 : x
  2. Step 2: Convert to fraction form
    509,729.97/703,445.45 = 280,304.85/x
  3. Step 3: Cross multiply
    509,729.97x = 703,445.45 × 280,304.85
  4. Step 4: Simplify right side
    509,729.97x = 197,179,169,943.91
  5. Step 5: Solve for x
    x = 197,179,169,943.91/509,729.97
  6. Step 6: Final answer
    x = 386,830.64

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1.5x scale

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.