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Finding the Fourth Proportional to 453,951.40, 680,927.10 and 154,769.80

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Solution

The fourth proportional to 453,951.40, 680,927.10 and 154,769.80 is: 232,154.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,951.40 : 680,927.10 = 154,769.80 : x
  2. Step 2: Convert to fraction form
    453,951.40/680,927.10 = 154,769.80/x
  3. Step 3: Cross multiply
    453,951.40x = 680,927.10 × 154,769.80
  4. Step 4: Simplify right side
    453,951.40x = 105,386,951,081.58
  5. Step 5: Solve for x
    x = 105,386,951,081.58/453,951.40
  6. Step 6: Final answer
    x = 232,154.70

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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.