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Finding the Fourth Proportional to 509,630.52, 703,290.58 and 280,191.72

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Solution

The fourth proportional to 509,630.52, 703,290.58 and 280,191.72 is: 386,664.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,630.52 : 703,290.58 = 280,191.72 : x
  2. Step 2: Convert to fraction form
    509,630.52/703,290.58 = 280,191.72/x
  3. Step 3: Cross multiply
    509,630.52x = 703,290.58 × 280,191.72
  4. Step 4: Simplify right side
    509,630.52x = 197,056,197,270.00
  5. Step 5: Solve for x
    x = 197,056,197,270.00/509,630.52
  6. Step 6: Final answer
    x = 386,664.83

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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.