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Finding the Fourth Proportional to 601,587.71, 902,348.36 and 202,187.24

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Solution

The fourth proportional to 601,587.71, 902,348.36 and 202,187.24 is: 303,269.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,587.71 : 902,348.36 = 202,187.24 : x
  2. Step 2: Convert to fraction form
    601,587.71/902,348.36 = 202,187.24/x
  3. Step 3: Cross multiply
    601,587.71x = 902,348.36 × 202,187.24
  4. Step 4: Simplify right side
    601,587.71x = 182,443,325,671.86
  5. Step 5: Solve for x
    x = 182,443,325,671.86/601,587.71
  6. Step 6: Final answer
    x = 303,269.70

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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.