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Finding the Fourth Proportional to 514,145.72, 709,528.34 and 296,233.96

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Solution

The fourth proportional to 514,145.72, 709,528.34 and 296,233.96 is: 408,807.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,145.72 : 709,528.34 = 296,233.96 : x
  2. Step 2: Convert to fraction form
    514,145.72/709,528.34 = 296,233.96/x
  3. Step 3: Cross multiply
    514,145.72x = 709,528.34 × 296,233.96
  4. Step 4: Simplify right side
    514,145.72x = 210,186,389,890.43
  5. Step 5: Solve for x
    x = 210,186,389,890.43/514,145.72
  6. Step 6: Final answer
    x = 408,807.04

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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.