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Finding the Fourth Proportional to 409,576.60, 614,364.90 and 232,429.60

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Solution

The fourth proportional to 409,576.60, 614,364.90 and 232,429.60 is: 348,644.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,576.60 : 614,364.90 = 232,429.60 : x
  2. Step 2: Convert to fraction form
    409,576.60/614,364.90 = 232,429.60/x
  3. Step 3: Cross multiply
    409,576.60x = 614,364.90 × 232,429.60
  4. Step 4: Simplify right side
    409,576.60x = 142,796,587,961.04
  5. Step 5: Solve for x
    x = 142,796,587,961.04/409,576.60
  6. Step 6: Final answer
    x = 348,644.40

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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.