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Finding the Fourth Proportional to 514,069.12, 709,437.56 and 284,626.41

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Solution

The fourth proportional to 514,069.12, 709,437.56 and 284,626.41 is: 392,796.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,069.12 : 709,437.56 = 284,626.41 : x
  2. Step 2: Convert to fraction form
    514,069.12/709,437.56 = 284,626.41/x
  3. Step 3: Cross multiply
    514,069.12x = 709,437.56 × 284,626.41
  4. Step 4: Simplify right side
    514,069.12x = 201,924,664,398.83
  5. Step 5: Solve for x
    x = 201,924,664,398.83/514,069.12
  6. Step 6: Final answer
    x = 392,796.72

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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.