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Finding the Fourth Proportional to 514,086.70, 709,439.54 and 287,732.20

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Solution

The fourth proportional to 514,086.70, 709,439.54 and 287,732.20 is: 397,070.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,086.70 : 709,439.54 = 287,732.20 : x
  2. Step 2: Convert to fraction form
    514,086.70/709,439.54 = 287,732.20/x
  3. Step 3: Cross multiply
    514,086.70x = 709,439.54 × 287,732.20
  4. Step 4: Simplify right side
    514,086.70x = 204,128,599,611.19
  5. Step 5: Solve for x
    x = 204,128,599,611.19/514,086.70
  6. Step 6: Final answer
    x = 397,070.38

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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.