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Finding the Fourth Proportional to 263,281.60, 394,922.40 and 260,657.20

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Solution

The fourth proportional to 263,281.60, 394,922.40 and 260,657.20 is: 390,985.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,281.60 : 394,922.40 = 260,657.20 : x
  2. Step 2: Convert to fraction form
    263,281.60/394,922.40 = 260,657.20/x
  3. Step 3: Cross multiply
    263,281.60x = 394,922.40 × 260,657.20
  4. Step 4: Simplify right side
    263,281.60x = 102,939,367,001.28
  5. Step 5: Solve for x
    x = 102,939,367,001.28/263,281.60
  6. Step 6: Final answer
    x = 390,985.80

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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.