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Finding the Fourth Proportional to 514,265.76, 709,688.79 and 299,553.39

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Solution

The fourth proportional to 514,265.76, 709,688.79 and 299,553.39 is: 413,384.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,265.76 : 709,688.79 = 299,553.39 : x
  2. Step 2: Convert to fraction form
    514,265.76/709,688.79 = 299,553.39/x
  3. Step 3: Cross multiply
    514,265.76x = 709,688.79 × 299,553.39
  4. Step 4: Simplify right side
    514,265.76x = 212,589,682,889.50
  5. Step 5: Solve for x
    x = 212,589,682,889.50/514,265.76
  6. Step 6: Final answer
    x = 413,384.87

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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.