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Finding the Fourth Proportional to 380,233.62, 570,306.66 and 99,772.74

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Solution

The fourth proportional to 380,233.62, 570,306.66 and 99,772.74 is: 149,647.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,233.62 : 570,306.66 = 99,772.74 : x
  2. Step 2: Convert to fraction form
    380,233.62/570,306.66 = 99,772.74/x
  3. Step 3: Cross multiply
    380,233.62x = 570,306.66 × 99,772.74
  4. Step 4: Simplify right side
    380,233.62x = 56,901,058,108.45
  5. Step 5: Solve for x
    x = 56,901,058,108.45/380,233.62
  6. Step 6: Final answer
    x = 149,647.62

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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.