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Finding the Fourth Proportional to 462,066.40, 693,034.80 and 146,555.20

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Solution

The fourth proportional to 462,066.40, 693,034.80 and 146,555.20 is: 219,812.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,066.40 : 693,034.80 = 146,555.20 : x
  2. Step 2: Convert to fraction form
    462,066.40/693,034.80 = 146,555.20/x
  3. Step 3: Cross multiply
    462,066.40x = 693,034.80 × 146,555.20
  4. Step 4: Simplify right side
    462,066.40x = 101,567,853,720.96
  5. Step 5: Solve for x
    x = 101,567,853,720.96/462,066.40
  6. Step 6: Final answer
    x = 219,812.25

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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.