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Finding the Fourth Proportional to 272,904.60, 409,356.90 and 233,046.53

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Solution

The fourth proportional to 272,904.60, 409,356.90 and 233,046.53 is: 349,569.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,904.60 : 409,356.90 = 233,046.53 : x
  2. Step 2: Convert to fraction form
    272,904.60/409,356.90 = 233,046.53/x
  3. Step 3: Cross multiply
    272,904.60x = 409,356.90 × 233,046.53
  4. Step 4: Simplify right side
    272,904.60x = 95,399,203,029.77
  5. Step 5: Solve for x
    x = 95,399,203,029.77/272,904.60
  6. Step 6: Final answer
    x = 349,569.79

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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.