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Finding the Fourth Proportional to 308,821.32, 463,306.98 and 98,459.10

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Solution

The fourth proportional to 308,821.32, 463,306.98 and 98,459.10 is: 147,712.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,821.32 : 463,306.98 = 98,459.10 : x
  2. Step 2: Convert to fraction form
    308,821.32/463,306.98 = 98,459.10/x
  3. Step 3: Cross multiply
    308,821.32x = 463,306.98 × 98,459.10
  4. Step 4: Simplify right side
    308,821.32x = 45,616,788,274.52
  5. Step 5: Solve for x
    x = 45,616,788,274.52/308,821.32
  6. Step 6: Final answer
    x = 147,712.56

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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.