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Finding the Fourth Proportional to 458,184.80, 687,112.40 and 158,584

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Solution

The fourth proportional to 458,184.80, 687,112.40 and 158,584 is: 237,818.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,184.80 : 687,112.40 = 158,584 : x
  2. Step 2: Convert to fraction form
    458,184.80/687,112.40 = 158,584/x
  3. Step 3: Cross multiply
    458,184.80x = 687,112.40 × 158,584
  4. Step 4: Simplify right side
    458,184.80x = 108,965,032,841.60
  5. Step 5: Solve for x
    x = 108,965,032,841.60/458,184.80
  6. Step 6: Final answer
    x = 237,818.96

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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.