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Finding the Fourth Proportional to 426,209.60, 638,536.80 and 259,803.20

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Solution

The fourth proportional to 426,209.60, 638,536.80 and 259,803.20 is: 389,230.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,209.60 : 638,536.80 = 259,803.20 : x
  2. Step 2: Convert to fraction form
    426,209.60/638,536.80 = 259,803.20/x
  3. Step 3: Cross multiply
    426,209.60x = 638,536.80 × 259,803.20
  4. Step 4: Simplify right side
    426,209.60x = 165,893,903,957.76
  5. Step 5: Solve for x
    x = 165,893,903,957.76/426,209.60
  6. Step 6: Final answer
    x = 389,230.80

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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.