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Finding the Fourth Proportional to 232,860.10, 349,289.70 and 64,380

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Solution

The fourth proportional to 232,860.10, 349,289.70 and 64,380 is: 96,569.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,860.10 : 349,289.70 = 64,380 : x
  2. Step 2: Convert to fraction form
    232,860.10/349,289.70 = 64,380/x
  3. Step 3: Cross multiply
    232,860.10x = 349,289.70 × 64,380
  4. Step 4: Simplify right side
    232,860.10x = 22,487,270,886
  5. Step 5: Solve for x
    x = 22,487,270,886/232,860.10
  6. Step 6: Final answer
    x = 96,569.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.