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Finding the Fourth Proportional to 462,320.05, 693,555.98 and 142,471.98

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Solution

The fourth proportional to 462,320.05, 693,555.98 and 142,471.98 is: 213,731.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,320.05 : 693,555.98 = 142,471.98 : x
  2. Step 2: Convert to fraction form
    462,320.05/693,555.98 = 142,471.98/x
  3. Step 3: Cross multiply
    462,320.05x = 693,555.98 × 142,471.98
  4. Step 4: Simplify right side
    462,320.05x = 98,812,289,531.30
  5. Step 5: Solve for x
    x = 98,812,289,531.30/462,320.05
  6. Step 6: Final answer
    x = 213,731.35

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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.