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Finding the Fourth Proportional to 230,435.40, 345,711.40 and 64,223.40

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Solution

The fourth proportional to 230,435.40, 345,711.40 and 64,223.40 is: 96,351.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,435.40 : 345,711.40 = 64,223.40 : x
  2. Step 2: Convert to fraction form
    230,435.40/345,711.40 = 64,223.40/x
  3. Step 3: Cross multiply
    230,435.40x = 345,711.40 × 64,223.40
  4. Step 4: Simplify right side
    230,435.40x = 22,202,761,526.76
  5. Step 5: Solve for x
    x = 22,202,761,526.76/230,435.40
  6. Step 6: Final answer
    x = 96,351.35

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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.