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Finding the Fourth Proportional to 269,543.70, 403,732.35 and 175,065.30

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Solution

The fourth proportional to 269,543.70, 403,732.35 and 175,065.30 is: 262,219.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,543.70 : 403,732.35 = 175,065.30 : x
  2. Step 2: Convert to fraction form
    269,543.70/403,732.35 = 175,065.30/x
  3. Step 3: Cross multiply
    269,543.70x = 403,732.35 × 175,065.30
  4. Step 4: Simplify right side
    269,543.70x = 70,679,524,972.46
  5. Step 5: Solve for x
    x = 70,679,524,972.46/269,543.70
  6. Step 6: Final answer
    x = 262,219.17

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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.