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Finding the Fourth Proportional to 269,547.20, 403,543.20 and 261,771.20

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Solution

The fourth proportional to 269,547.20, 403,543.20 and 261,771.20 is: 391,901.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,547.20 : 403,543.20 = 261,771.20 : x
  2. Step 2: Convert to fraction form
    269,547.20/403,543.20 = 261,771.20/x
  3. Step 3: Cross multiply
    269,547.20x = 403,543.20 × 261,771.20
  4. Step 4: Simplify right side
    269,547.20x = 105,635,987,715.84
  5. Step 5: Solve for x
    x = 105,635,987,715.84/269,547.20
  6. Step 6: Final answer
    x = 391,901.63

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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.