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Finding the Fourth Proportional to 546,769.70, 820,197.36 and 147,404.36

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Solution

The fourth proportional to 546,769.70, 820,197.36 and 147,404.36 is: 221,118.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,769.70 : 820,197.36 = 147,404.36 : x
  2. Step 2: Convert to fraction form
    546,769.70/820,197.36 = 147,404.36/x
  3. Step 3: Cross multiply
    546,769.70x = 820,197.36 × 147,404.36
  4. Step 4: Simplify right side
    546,769.70x = 120,900,662,823.50
  5. Step 5: Solve for x
    x = 120,900,662,823.50/546,769.70
  6. Step 6: Final answer
    x = 221,118.08

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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.