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Finding the Fourth Proportional to 288,702.40, 432,823.20 and 122,353.60

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Solution

The fourth proportional to 288,702.40, 432,823.20 and 122,353.60 is: 183,432.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,702.40 : 432,823.20 = 122,353.60 : x
  2. Step 2: Convert to fraction form
    288,702.40/432,823.20 = 122,353.60/x
  3. Step 3: Cross multiply
    288,702.40x = 432,823.20 × 122,353.60
  4. Step 4: Simplify right side
    288,702.40x = 52,957,476,683.52
  5. Step 5: Solve for x
    x = 52,957,476,683.52/288,702.40
  6. Step 6: Final answer
    x = 183,432.76

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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.