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Finding the Fourth Proportional to 356,989.10, 535,199.49 and 176,947.82

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Solution

The fourth proportional to 356,989.10, 535,199.49 and 176,947.82 is: 265,280.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,989.10 : 535,199.49 = 176,947.82 : x
  2. Step 2: Convert to fraction form
    356,989.10/535,199.49 = 176,947.82/x
  3. Step 3: Cross multiply
    356,989.10x = 535,199.49 × 176,947.82
  4. Step 4: Simplify right side
    356,989.10x = 94,702,383,020.61
  5. Step 5: Solve for x
    x = 94,702,383,020.61/356,989.10
  6. Step 6: Final answer
    x = 265,280.88

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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.