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Finding the Fourth Proportional to 514,131.71, 709,509.04 and 296,219.97

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Solution

The fourth proportional to 514,131.71, 709,509.04 and 296,219.97 is: 408,787.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,131.71 : 709,509.04 = 296,219.97 : x
  2. Step 2: Convert to fraction form
    514,131.71/709,509.04 = 296,219.97/x
  3. Step 3: Cross multiply
    514,131.71x = 709,509.04 × 296,219.97
  4. Step 4: Simplify right side
    514,131.71x = 210,170,745,802.98
  5. Step 5: Solve for x
    x = 210,170,745,802.98/514,131.71
  6. Step 6: Final answer
    x = 408,787.76

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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.