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Finding the Fourth Proportional to 308,594.40, 462,726.96 and 146,317.92

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Solution

The fourth proportional to 308,594.40, 462,726.96 and 146,317.92 is: 219,398.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,594.40 : 462,726.96 = 146,317.92 : x
  2. Step 2: Convert to fraction form
    308,594.40/462,726.96 = 146,317.92/x
  3. Step 3: Cross multiply
    308,594.40x = 462,726.96 × 146,317.92
  4. Step 4: Simplify right side
    308,594.40x = 67,705,246,315.12
  5. Step 5: Solve for x
    x = 67,705,246,315.12/308,594.40
  6. Step 6: Final answer
    x = 219,398.82

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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.