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Finding the Fourth Proportional to 324,938.94, 487,200.74 and 156,123.32

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Solution

The fourth proportional to 324,938.94, 487,200.74 and 156,123.32 is: 234,085.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,938.94 : 487,200.74 = 156,123.32 : x
  2. Step 2: Convert to fraction form
    324,938.94/487,200.74 = 156,123.32/x
  3. Step 3: Cross multiply
    324,938.94x = 487,200.74 × 156,123.32
  4. Step 4: Simplify right side
    324,938.94x = 76,063,397,035.26
  5. Step 5: Solve for x
    x = 76,063,397,035.26/324,938.94
  6. Step 6: Final answer
    x = 234,085.20

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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.