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Finding the Fourth Proportional to 410,633.40, 615,971.82 and 130,172.52

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Solution

The fourth proportional to 410,633.40, 615,971.82 and 130,172.52 is: 195,265.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,633.40 : 615,971.82 = 130,172.52 : x
  2. Step 2: Convert to fraction form
    410,633.40/615,971.82 = 130,172.52/x
  3. Step 3: Cross multiply
    410,633.40x = 615,971.82 × 130,172.52
  4. Step 4: Simplify right side
    410,633.40x = 80,182,604,058.39
  5. Step 5: Solve for x
    x = 80,182,604,058.39/410,633.40
  6. Step 6: Final answer
    x = 195,265.67

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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.