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Finding the Fourth Proportional to 397,462.90, 595,443.34 and 234,871.95

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Solution

The fourth proportional to 397,462.90, 595,443.34 and 234,871.95 is: 351,864.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,462.90 : 595,443.34 = 234,871.95 : x
  2. Step 2: Convert to fraction form
    397,462.90/595,443.34 = 234,871.95/x
  3. Step 3: Cross multiply
    397,462.90x = 595,443.34 × 234,871.95
  4. Step 4: Simplify right side
    397,462.90x = 139,852,938,380.31
  5. Step 5: Solve for x
    x = 139,852,938,380.31/397,462.90
  6. Step 6: Final answer
    x = 351,864.13

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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.