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Finding the Fourth Proportional to 462,340.40, 693,445.80 and 146,829.20

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Solution

The fourth proportional to 462,340.40, 693,445.80 and 146,829.20 is: 220,223.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,340.40 : 693,445.80 = 146,829.20 : x
  2. Step 2: Convert to fraction form
    462,340.40/693,445.80 = 146,829.20/x
  3. Step 3: Cross multiply
    462,340.40x = 693,445.80 × 146,829.20
  4. Step 4: Simplify right side
    462,340.40x = 101,818,092,057.36
  5. Step 5: Solve for x
    x = 101,818,092,057.36/462,340.40
  6. Step 6: Final answer
    x = 220,223.22

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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.