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Finding the Fourth Proportional to 434,082.20, 651,123.30 and 153,627.80

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Solution

The fourth proportional to 434,082.20, 651,123.30 and 153,627.80 is: 230,441.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,082.20 : 651,123.30 = 153,627.80 : x
  2. Step 2: Convert to fraction form
    434,082.20/651,123.30 = 153,627.80/x
  3. Step 3: Cross multiply
    434,082.20x = 651,123.30 × 153,627.80
  4. Step 4: Simplify right side
    434,082.20x = 100,030,640,107.74
  5. Step 5: Solve for x
    x = 100,030,640,107.74/434,082.20
  6. Step 6: Final answer
    x = 230,441.70

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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.