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Finding the Fourth Proportional to 600,078.40, 900,117.60 and 200,732.20

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Solution

The fourth proportional to 600,078.40, 900,117.60 and 200,732.20 is: 301,098.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,078.40 : 900,117.60 = 200,732.20 : x
  2. Step 2: Convert to fraction form
    600,078.40/900,117.60 = 200,732.20/x
  3. Step 3: Cross multiply
    600,078.40x = 900,117.60 × 200,732.20
  4. Step 4: Simplify right side
    600,078.40x = 180,682,586,106.72
  5. Step 5: Solve for x
    x = 180,682,586,106.72/600,078.40
  6. Step 6: Final answer
    x = 301,098.30

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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.