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Finding the Fourth Proportional to 550,223.76, 825,280.32 and 150,904.68

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Solution

The fourth proportional to 550,223.76, 825,280.32 and 150,904.68 is: 226,341.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    550,223.76 : 825,280.32 = 150,904.68 : x
  2. Step 2: Convert to fraction form
    550,223.76/825,280.32 = 150,904.68/x
  3. Step 3: Cross multiply
    550,223.76x = 825,280.32 × 150,904.68
  4. Step 4: Simplify right side
    550,223.76x = 124,538,662,599.90
  5. Step 5: Solve for x
    x = 124,538,662,599.90/550,223.76
  6. Step 6: Final answer
    x = 226,341.85

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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.