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Finding the Fourth Proportional to 462,182.08, 693,376.80 and 146,649.28

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Solution

The fourth proportional to 462,182.08, 693,376.80 and 146,649.28 is: 220,006.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,182.08 : 693,376.80 = 146,649.28 : x
  2. Step 2: Convert to fraction form
    462,182.08/693,376.80 = 146,649.28/x
  3. Step 3: Cross multiply
    462,182.08x = 693,376.80 × 146,649.28
  4. Step 4: Simplify right side
    462,182.08x = 101,683,208,488.70
  5. Step 5: Solve for x
    x = 101,683,208,488.70/462,182.08
  6. Step 6: Final answer
    x = 220,006.82

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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.