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Finding the Fourth Proportional to 399,098.32, 598,952.06 and 146,618.08

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Solution

The fourth proportional to 399,098.32, 598,952.06 and 146,618.08 is: 220,039.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,098.32 : 598,952.06 = 146,618.08 : x
  2. Step 2: Convert to fraction form
    399,098.32/598,952.06 = 146,618.08/x
  3. Step 3: Cross multiply
    399,098.32x = 598,952.06 × 146,618.08
  4. Step 4: Simplify right side
    399,098.32x = 87,817,201,049.24
  5. Step 5: Solve for x
    x = 87,817,201,049.24/399,098.32
  6. Step 6: Final answer
    x = 220,039.01

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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.