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Finding the Fourth Proportional to 462,549.10, 693,934.08 and 147,006.58

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Solution

The fourth proportional to 462,549.10, 693,934.08 and 147,006.58 is: 220,544.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,549.10 : 693,934.08 = 147,006.58 : x
  2. Step 2: Convert to fraction form
    462,549.10/693,934.08 = 147,006.58/x
  3. Step 3: Cross multiply
    462,549.10x = 693,934.08 × 147,006.58
  4. Step 4: Simplify right side
    462,549.10x = 102,012,875,846.25
  5. Step 5: Solve for x
    x = 102,012,875,846.25/462,549.10
  6. Step 6: Final answer
    x = 220,544.97

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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.