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Finding the Fourth Proportional to 409,281.01, 564,813.62 and 234,879.60

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Solution

The fourth proportional to 409,281.01, 564,813.62 and 234,879.60 is: 324,137.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,281.01 : 564,813.62 = 234,879.60 : x
  2. Step 2: Convert to fraction form
    409,281.01/564,813.62 = 234,879.60/x
  3. Step 3: Cross multiply
    409,281.01x = 564,813.62 × 234,879.60
  4. Step 4: Simplify right side
    409,281.01x = 132,663,197,140.15
  5. Step 5: Solve for x
    x = 132,663,197,140.15/409,281.01
  6. Step 6: Final answer
    x = 324,137.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.