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Finding the Fourth Proportional to 434,321.76, 651,569.77 and 150,022.70

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Solution

The fourth proportional to 434,321.76, 651,569.77 and 150,022.70 is: 225,064.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,321.76 : 651,569.77 = 150,022.70 : x
  2. Step 2: Convert to fraction form
    434,321.76/651,569.77 = 150,022.70/x
  3. Step 3: Cross multiply
    434,321.76x = 651,569.77 × 150,022.70
  4. Step 4: Simplify right side
    434,321.76x = 97,750,255,506.85
  5. Step 5: Solve for x
    x = 97,750,255,506.85/434,321.76
  6. Step 6: Final answer
    x = 225,064.14

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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.