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Finding the Fourth Proportional to 410,988.50, 616,482.75 and 115,500.50

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Solution

The fourth proportional to 410,988.50, 616,482.75 and 115,500.50 is: 173,250.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,988.50 : 616,482.75 = 115,500.50 : x
  2. Step 2: Convert to fraction form
    410,988.50/616,482.75 = 115,500.50/x
  3. Step 3: Cross multiply
    410,988.50x = 616,482.75 × 115,500.50
  4. Step 4: Simplify right side
    410,988.50x = 71,204,065,866.38
  5. Step 5: Solve for x
    x = 71,204,065,866.38/410,988.50
  6. Step 6: Final answer
    x = 173,250.75

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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.