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Finding the Fourth Proportional to 421,750.40, 632,343.78 and 232,299.29

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Solution

The fourth proportional to 421,750.40, 632,343.78 and 232,299.29 is: 348,293.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,750.40 : 632,343.78 = 232,299.29 : x
  2. Step 2: Convert to fraction form
    421,750.40/632,343.78 = 232,299.29/x
  3. Step 3: Cross multiply
    421,750.40x = 632,343.78 × 232,299.29
  4. Step 4: Simplify right side
    421,750.40x = 146,893,012,710.78
  5. Step 5: Solve for x
    x = 146,893,012,710.78/421,750.40
  6. Step 6: Final answer
    x = 348,293.72

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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.