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Finding the Fourth Proportional to 462,221.40, 692,586.90 and 261,946.20

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Solution

The fourth proportional to 462,221.40, 692,586.90 and 261,946.20 is: 392,496.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,221.40 : 692,586.90 = 261,946.20 : x
  2. Step 2: Convert to fraction form
    462,221.40/692,586.90 = 261,946.20/x
  3. Step 3: Cross multiply
    462,221.40x = 692,586.90 × 261,946.20
  4. Step 4: Simplify right side
    462,221.40x = 181,420,506,624.78
  5. Step 5: Solve for x
    x = 181,420,506,624.78/462,221.40
  6. Step 6: Final answer
    x = 392,496.99

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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.