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Finding the Fourth Proportional to 462,403.60, 693,624.60 and 146,851.60

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Solution

The fourth proportional to 462,403.60, 693,624.60 and 146,851.60 is: 220,283.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,403.60 : 693,624.60 = 146,851.60 : x
  2. Step 2: Convert to fraction form
    462,403.60/693,624.60 = 146,851.60/x
  3. Step 3: Cross multiply
    462,403.60x = 693,624.60 × 146,851.60
  4. Step 4: Simplify right side
    462,403.60x = 101,859,882,309.36
  5. Step 5: Solve for x
    x = 101,859,882,309.36/462,403.60
  6. Step 6: Final answer
    x = 220,283.50

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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.