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Finding the Fourth Proportional to 269,282.10, 403,923.15 and 164,306.10

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Solution

The fourth proportional to 269,282.10, 403,923.15 and 164,306.10 is: 246,459.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,282.10 : 403,923.15 = 164,306.10 : x
  2. Step 2: Convert to fraction form
    269,282.10/403,923.15 = 164,306.10/x
  3. Step 3: Cross multiply
    269,282.10x = 403,923.15 × 164,306.10
  4. Step 4: Simplify right side
    269,282.10x = 66,367,037,476.22
  5. Step 5: Solve for x
    x = 66,367,037,476.22/269,282.10
  6. Step 6: Final answer
    x = 246,459.15

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1.5x scale

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.