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Finding the Fourth Proportional to 465,774.76, 698,751.42 and 150,146.92

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Solution

The fourth proportional to 465,774.76, 698,751.42 and 150,146.92 is: 225,249.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,774.76 : 698,751.42 = 150,146.92 : x
  2. Step 2: Convert to fraction form
    465,774.76/698,751.42 = 150,146.92/x
  3. Step 3: Cross multiply
    465,774.76x = 698,751.42 × 150,146.92
  4. Step 4: Simplify right side
    465,774.76x = 104,915,373,558.63
  5. Step 5: Solve for x
    x = 104,915,373,558.63/465,774.76
  6. Step 6: Final answer
    x = 225,249.16

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1.5x scale

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.