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Finding the Fourth Proportional to 546,833.60, 820,250.40 and 511,582.40

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Solution

The fourth proportional to 546,833.60, 820,250.40 and 511,582.40 is: 767,373.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,833.60 : 820,250.40 = 511,582.40 : x
  2. Step 2: Convert to fraction form
    546,833.60/820,250.40 = 511,582.40/x
  3. Step 3: Cross multiply
    546,833.60x = 820,250.40 × 511,582.40
  4. Step 4: Simplify right side
    546,833.60x = 419,625,668,232.96
  5. Step 5: Solve for x
    x = 419,625,668,232.96/546,833.60
  6. Step 6: Final answer
    x = 767,373.60

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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.