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Finding the Fourth Proportional to 308,897.40, 463,346.10 and 109,248.60

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Solution

The fourth proportional to 308,897.40, 463,346.10 and 109,248.60 is: 163,872.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,897.40 : 463,346.10 = 109,248.60 : x
  2. Step 2: Convert to fraction form
    308,897.40/463,346.10 = 109,248.60/x
  3. Step 3: Cross multiply
    308,897.40x = 463,346.10 × 109,248.60
  4. Step 4: Simplify right side
    308,897.40x = 50,619,912,740.46
  5. Step 5: Solve for x
    x = 50,619,912,740.46/308,897.40
  6. Step 6: Final answer
    x = 163,872.90

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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.