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Finding the Fourth Proportional to 514,160.03, 709,535.91 and 296,288.66

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Solution

The fourth proportional to 514,160.03, 709,535.91 and 296,288.66 is: 408,875.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,160.03 : 709,535.91 = 296,288.66 : x
  2. Step 2: Convert to fraction form
    514,160.03/709,535.91 = 296,288.66/x
  3. Step 3: Cross multiply
    514,160.03x = 709,535.91 × 296,288.66
  4. Step 4: Simplify right side
    514,160.03x = 210,227,443,995.78
  5. Step 5: Solve for x
    x = 210,227,443,995.78/514,160.03
  6. Step 6: Final answer
    x = 408,875.51

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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.