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Finding the Fourth Proportional to 514,528.68, 710,296.38 and 361,697.88

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Solution

The fourth proportional to 514,528.68, 710,296.38 and 361,697.88 is: 499,316.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,528.68 : 710,296.38 = 361,697.88 : x
  2. Step 2: Convert to fraction form
    514,528.68/710,296.38 = 361,697.88/x
  3. Step 3: Cross multiply
    514,528.68x = 710,296.38 × 361,697.88
  4. Step 4: Simplify right side
    514,528.68x = 256,912,694,817.67
  5. Step 5: Solve for x
    x = 256,912,694,817.67/514,528.68
  6. Step 6: Final answer
    x = 499,316.57

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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.