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Finding the Fourth Proportional to 466,143.40, 699,229.74 and 150,603.16

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Solution

The fourth proportional to 466,143.40, 699,229.74 and 150,603.16 is: 225,909.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,143.40 : 699,229.74 = 150,603.16 : x
  2. Step 2: Convert to fraction form
    466,143.40/699,229.74 = 150,603.16/x
  3. Step 3: Cross multiply
    466,143.40x = 699,229.74 × 150,603.16
  4. Step 4: Simplify right side
    466,143.40x = 105,306,208,409.98
  5. Step 5: Solve for x
    x = 105,306,208,409.98/466,143.40
  6. Step 6: Final answer
    x = 225,909.47

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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.