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Finding the Fourth Proportional to 462,312.24, 693,471.24 and 142,460.16

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Solution

The fourth proportional to 462,312.24, 693,471.24 and 142,460.16 is: 213,691.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,312.24 : 693,471.24 = 142,460.16 : x
  2. Step 2: Convert to fraction form
    462,312.24/693,471.24 = 142,460.16/x
  3. Step 3: Cross multiply
    462,312.24x = 693,471.24 × 142,460.16
  4. Step 4: Simplify right side
    462,312.24x = 98,792,023,805.80
  5. Step 5: Solve for x
    x = 98,792,023,805.80/462,312.24
  6. Step 6: Final answer
    x = 213,691.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.