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Finding the Fourth Proportional to 601,776.64, 902,663.32 and 152,496.20

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Solution

The fourth proportional to 601,776.64, 902,663.32 and 152,496.20 is: 228,743.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,776.64 : 902,663.32 = 152,496.20 : x
  2. Step 2: Convert to fraction form
    601,776.64/902,663.32 = 152,496.20/x
  3. Step 3: Cross multiply
    601,776.64x = 902,663.32 × 152,496.20
  4. Step 4: Simplify right side
    601,776.64x = 137,652,726,179.38
  5. Step 5: Solve for x
    x = 137,652,726,179.38/601,776.64
  6. Step 6: Final answer
    x = 228,743.88

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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.