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Finding the Fourth Proportional to 473,780.34, 711,162.72 and 274,490.10

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Solution

The fourth proportional to 473,780.34, 711,162.72 and 274,490.10 is: 412,020.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,780.34 : 711,162.72 = 274,490.10 : x
  2. Step 2: Convert to fraction form
    473,780.34/711,162.72 = 274,490.10/x
  3. Step 3: Cross multiply
    473,780.34x = 711,162.72 × 274,490.10
  4. Step 4: Simplify right side
    473,780.34x = 195,207,126,129.07
  5. Step 5: Solve for x
    x = 195,207,126,129.07/473,780.34
  6. Step 6: Final answer
    x = 412,020.32

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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.