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Finding the Fourth Proportional to 514,063.14, 709,343.37 and 299,241.42

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Solution

The fourth proportional to 514,063.14, 709,343.37 and 299,241.42 is: 412,916.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,063.14 : 709,343.37 = 299,241.42 : x
  2. Step 2: Convert to fraction form
    514,063.14/709,343.37 = 299,241.42/x
  3. Step 3: Cross multiply
    514,063.14x = 709,343.37 × 299,241.42
  4. Step 4: Simplify right side
    514,063.14x = 212,264,917,306.39
  5. Step 5: Solve for x
    x = 212,264,917,306.39/514,063.14
  6. Step 6: Final answer
    x = 412,916.04

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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.