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Finding the Fourth Proportional to 409,570.92, 614,633.16 and 143,333.76

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Solution

The fourth proportional to 409,570.92, 614,633.16 and 143,333.76 is: 215,097.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,570.92 : 614,633.16 = 143,333.76 : x
  2. Step 2: Convert to fraction form
    409,570.92/614,633.16 = 143,333.76/x
  3. Step 3: Cross multiply
    409,570.92x = 614,633.16 × 143,333.76
  4. Step 4: Simplify right side
    409,570.92x = 88,097,681,843.48
  5. Step 5: Solve for x
    x = 88,097,681,843.48/409,570.92
  6. Step 6: Final answer
    x = 215,097.50

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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.