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Finding the Fourth Proportional to 482,830.80, 724,343.40 and 167,222.40

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Solution

The fourth proportional to 482,830.80, 724,343.40 and 167,222.40 is: 250,867.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,830.80 : 724,343.40 = 167,222.40 : x
  2. Step 2: Convert to fraction form
    482,830.80/724,343.40 = 167,222.40/x
  3. Step 3: Cross multiply
    482,830.80x = 724,343.40 × 167,222.40
  4. Step 4: Simplify right side
    482,830.80x = 121,126,441,772.16
  5. Step 5: Solve for x
    x = 121,126,441,772.16/482,830.80
  6. Step 6: Final answer
    x = 250,867.26

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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.