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Finding the Fourth Proportional to 230,476, 345,772.32 and 64,264

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Solution

The fourth proportional to 230,476, 345,772.32 and 64,264 is: 96,412.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,476 : 345,772.32 = 64,264 : x
  2. Step 2: Convert to fraction form
    230,476/345,772.32 = 64,264/x
  3. Step 3: Cross multiply
    230,476x = 345,772.32 × 64,264
  4. Step 4: Simplify right side
    230,476x = 22,220,712,372.48
  5. Step 5: Solve for x
    x = 22,220,712,372.48/230,476
  6. Step 6: Final answer
    x = 96,412.26

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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.