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Finding the Fourth Proportional to 407,236.32, 610,712.64 and 167,281.92

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Solution

The fourth proportional to 407,236.32, 610,712.64 and 167,281.92 is: 250,864.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,236.32 : 610,712.64 = 167,281.92 : x
  2. Step 2: Convert to fraction form
    407,236.32/610,712.64 = 167,281.92/x
  3. Step 3: Cross multiply
    407,236.32x = 610,712.64 × 167,281.92
  4. Step 4: Simplify right side
    407,236.32x = 102,161,182,987.47
  5. Step 5: Solve for x
    x = 102,161,182,987.47/407,236.32
  6. Step 6: Final answer
    x = 250,864.62

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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.