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Finding the Fourth Proportional to 540,706.28, 811,105.54 and 141,346.41

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Solution

The fourth proportional to 540,706.28, 811,105.54 and 141,346.41 is: 212,031.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,706.28 : 811,105.54 = 141,346.41 : x
  2. Step 2: Convert to fraction form
    540,706.28/811,105.54 = 141,346.41/x
  3. Step 3: Cross multiply
    540,706.28x = 811,105.54 × 141,346.41
  4. Step 4: Simplify right side
    540,706.28x = 114,646,853,610.17
  5. Step 5: Solve for x
    x = 114,646,853,610.17/540,706.28
  6. Step 6: Final answer
    x = 212,031.67

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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.