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Finding the Fourth Proportional to 232,406.40, 348,609.60 and 202,881.90

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Solution

The fourth proportional to 232,406.40, 348,609.60 and 202,881.90 is: 304,322.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,406.40 : 348,609.60 = 202,881.90 : x
  2. Step 2: Convert to fraction form
    232,406.40/348,609.60 = 202,881.90/x
  3. Step 3: Cross multiply
    232,406.40x = 348,609.60 × 202,881.90
  4. Step 4: Simplify right side
    232,406.40x = 70,726,578,006.24
  5. Step 5: Solve for x
    x = 70,726,578,006.24/232,406.40
  6. Step 6: Final answer
    x = 304,322.85

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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.