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Finding the Fourth Proportional to 311,295.40, 466,943.10 and 86,655.40

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Solution

The fourth proportional to 311,295.40, 466,943.10 and 86,655.40 is: 129,983.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,295.40 : 466,943.10 = 86,655.40 : x
  2. Step 2: Convert to fraction form
    311,295.40/466,943.10 = 86,655.40/x
  3. Step 3: Cross multiply
    311,295.40x = 466,943.10 × 86,655.40
  4. Step 4: Simplify right side
    311,295.40x = 40,463,141,107.74
  5. Step 5: Solve for x
    x = 40,463,141,107.74/311,295.40
  6. Step 6: Final answer
    x = 129,983.10

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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.