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Finding the Fourth Proportional to 308,818.32, 463,302.48 and 98,456.10

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Solution

The fourth proportional to 308,818.32, 463,302.48 and 98,456.10 is: 147,708.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,818.32 : 463,302.48 = 98,456.10 : x
  2. Step 2: Convert to fraction form
    308,818.32/463,302.48 = 98,456.10/x
  3. Step 3: Cross multiply
    308,818.32x = 463,302.48 × 98,456.10
  4. Step 4: Simplify right side
    308,818.32x = 45,614,955,301.13
  5. Step 5: Solve for x
    x = 45,614,955,301.13/308,818.32
  6. Step 6: Final answer
    x = 147,708.06

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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.