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Finding the Fourth Proportional to 509,657.20, 703,265.82 and 280,176.64

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Solution

The fourth proportional to 509,657.20, 703,265.82 and 280,176.64 is: 386,610.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,657.20 : 703,265.82 = 280,176.64 : x
  2. Step 2: Convert to fraction form
    509,657.20/703,265.82 = 280,176.64/x
  3. Step 3: Cross multiply
    509,657.20x = 703,265.82 × 280,176.64
  4. Step 4: Simplify right side
    509,657.20x = 197,038,654,474.45
  5. Step 5: Solve for x
    x = 197,038,654,474.45/509,657.20
  6. Step 6: Final answer
    x = 386,610.17

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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.