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Finding the Fourth Proportional to 546,529.60, 819,794.40 and 511,278.40

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Solution

The fourth proportional to 546,529.60, 819,794.40 and 511,278.40 is: 766,917.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,529.60 : 819,794.40 = 511,278.40 : x
  2. Step 2: Convert to fraction form
    546,529.60/819,794.40 = 511,278.40/x
  3. Step 3: Cross multiply
    546,529.60x = 819,794.40 × 511,278.40
  4. Step 4: Simplify right side
    546,529.60x = 419,143,169,160.96
  5. Step 5: Solve for x
    x = 419,143,169,160.96/546,529.60
  6. Step 6: Final answer
    x = 766,917.60

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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.