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Finding the Fourth Proportional to 546,374.96, 819,094.97 and 209,657.24

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Solution

The fourth proportional to 546,374.96, 819,094.97 and 209,657.24 is: 314,306.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,374.96 : 819,094.97 = 209,657.24 : x
  2. Step 2: Convert to fraction form
    546,374.96/819,094.97 = 209,657.24/x
  3. Step 3: Cross multiply
    546,374.96x = 819,094.97 × 209,657.24
  4. Step 4: Simplify right side
    546,374.96x = 171,729,193,279.96
  5. Step 5: Solve for x
    x = 171,729,193,279.96/546,374.96
  6. Step 6: Final answer
    x = 314,306.48

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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.