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Finding the Fourth Proportional to 435,948.80, 654,340.80 and 225,737.60

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Solution

The fourth proportional to 435,948.80, 654,340.80 and 225,737.60 is: 338,822.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,948.80 : 654,340.80 = 225,737.60 : x
  2. Step 2: Convert to fraction form
    435,948.80/654,340.80 = 225,737.60/x
  3. Step 3: Cross multiply
    435,948.80x = 654,340.80 × 225,737.60
  4. Step 4: Simplify right side
    435,948.80x = 147,709,321,774.08
  5. Step 5: Solve for x
    x = 147,709,321,774.08/435,948.80
  6. Step 6: Final answer
    x = 338,822.64

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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.