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Finding the Fourth Proportional to 378,156.53, 567,340.20 and 164,943.47

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Solution

The fourth proportional to 378,156.53, 567,340.20 and 164,943.47 is: 247,461.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,156.53 : 567,340.20 = 164,943.47 : x
  2. Step 2: Convert to fraction form
    378,156.53/567,340.20 = 164,943.47/x
  3. Step 3: Cross multiply
    378,156.53x = 567,340.20 × 164,943.47
  4. Step 4: Simplify right side
    378,156.53x = 93,579,058,421.79
  5. Step 5: Solve for x
    x = 93,579,058,421.79/378,156.53
  6. Step 6: Final answer
    x = 247,461.18

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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.