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Finding the Fourth Proportional to 450,996, 676,549.62 and 147,382.98

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Solution

The fourth proportional to 450,996, 676,549.62 and 147,382.98 is: 221,092.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,996 : 676,549.62 = 147,382.98 : x
  2. Step 2: Convert to fraction form
    450,996/676,549.62 = 147,382.98/x
  3. Step 3: Cross multiply
    450,996x = 676,549.62 × 147,382.98
  4. Step 4: Simplify right side
    450,996x = 99,711,899,113.47
  5. Step 5: Solve for x
    x = 99,711,899,113.47/450,996
  6. Step 6: Final answer
    x = 221,092.65

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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.