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Finding the Fourth Proportional to 410,775.39, 616,156.43 and 158,110.74

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Solution

The fourth proportional to 410,775.39, 616,156.43 and 158,110.74 is: 237,163.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,775.39 : 616,156.43 = 158,110.74 : x
  2. Step 2: Convert to fraction form
    410,775.39/616,156.43 = 158,110.74/x
  3. Step 3: Cross multiply
    410,775.39x = 616,156.43 × 158,110.74
  4. Step 4: Simplify right side
    410,775.39x = 97,420,948,312.50
  5. Step 5: Solve for x
    x = 97,420,948,312.50/410,775.39
  6. Step 6: Final answer
    x = 237,163.55

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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.