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Finding the Fourth Proportional to 514,312.68, 709,794.30 and 299,439.90

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Solution

The fourth proportional to 514,312.68, 709,794.30 and 299,439.90 is: 413,251.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,312.68 : 709,794.30 = 299,439.90 : x
  2. Step 2: Convert to fraction form
    514,312.68/709,794.30 = 299,439.90/x
  3. Step 3: Cross multiply
    514,312.68x = 709,794.30 × 299,439.90
  4. Step 4: Simplify right side
    514,312.68x = 212,540,734,212.57
  5. Step 5: Solve for x
    x = 212,540,734,212.57/514,312.68
  6. Step 6: Final answer
    x = 413,251.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.