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Finding the Fourth Proportional to 269,547.10, 404,320.65 and 164,571.10

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Solution

The fourth proportional to 269,547.10, 404,320.65 and 164,571.10 is: 246,856.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,547.10 : 404,320.65 = 164,571.10 : x
  2. Step 2: Convert to fraction form
    269,547.10/404,320.65 = 164,571.10/x
  3. Step 3: Cross multiply
    269,547.10x = 404,320.65 × 164,571.10
  4. Step 4: Simplify right side
    269,547.10x = 66,539,494,123.22
  5. Step 5: Solve for x
    x = 66,539,494,123.22/269,547.10
  6. Step 6: Final answer
    x = 246,856.65

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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.