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Finding the Fourth Proportional to 462,218.82, 693,322.65 and 146,678.46

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Solution

The fourth proportional to 462,218.82, 693,322.65 and 146,678.46 is: 220,015.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,218.82 : 693,322.65 = 146,678.46 : x
  2. Step 2: Convert to fraction form
    462,218.82/693,322.65 = 146,678.46/x
  3. Step 3: Cross multiply
    462,218.82x = 693,322.65 × 146,678.46
  4. Step 4: Simplify right side
    462,218.82x = 101,695,498,585.12
  5. Step 5: Solve for x
    x = 101,695,498,585.12/462,218.82
  6. Step 6: Final answer
    x = 220,015.92

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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.