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Finding the Fourth Proportional to 308,702.16, 462,327.48 and 150,434.64

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Solution

The fourth proportional to 308,702.16, 462,327.48 and 150,434.64 is: 225,298.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,702.16 : 462,327.48 = 150,434.64 : x
  2. Step 2: Convert to fraction form
    308,702.16/462,327.48 = 150,434.64/x
  3. Step 3: Cross multiply
    308,702.16x = 462,327.48 × 150,434.64
  4. Step 4: Simplify right side
    308,702.16x = 69,550,068,015.91
  5. Step 5: Solve for x
    x = 69,550,068,015.91/308,702.16
  6. Step 6: Final answer
    x = 225,298.29

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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.