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Finding the Fourth Proportional to 517,614.57, 714,141.97 and 313,600.28

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Solution

The fourth proportional to 517,614.57, 714,141.97 and 313,600.28 is: 432,667.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,614.57 : 714,141.97 = 313,600.28 : x
  2. Step 2: Convert to fraction form
    517,614.57/714,141.97 = 313,600.28/x
  3. Step 3: Cross multiply
    517,614.57x = 714,141.97 × 313,600.28
  4. Step 4: Simplify right side
    517,614.57x = 223,955,117,397.04
  5. Step 5: Solve for x
    x = 223,955,117,397.04/517,614.57
  6. Step 6: Final answer
    x = 432,667.72

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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.