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Finding the Fourth Proportional to 298,780.17, 412,306.17 and 167,953.83

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Solution

The fourth proportional to 298,780.17, 412,306.17 and 167,953.83 is: 231,770.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,780.17 : 412,306.17 = 167,953.83 : x
  2. Step 2: Convert to fraction form
    298,780.17/412,306.17 = 167,953.83/x
  3. Step 3: Cross multiply
    298,780.17x = 412,306.17 × 167,953.83
  4. Step 4: Simplify right side
    298,780.17x = 69,248,400,384.13
  5. Step 5: Solve for x
    x = 69,248,400,384.13/298,780.17
  6. Step 6: Final answer
    x = 231,770.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.