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Finding the Fourth Proportional to 269,277.10, 403,915.65 and 164,301.10

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Solution

The fourth proportional to 269,277.10, 403,915.65 and 164,301.10 is: 246,451.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,277.10 : 403,915.65 = 164,301.10 : x
  2. Step 2: Convert to fraction form
    269,277.10/403,915.65 = 164,301.10/x
  3. Step 3: Cross multiply
    269,277.10x = 403,915.65 × 164,301.10
  4. Step 4: Simplify right side
    269,277.10x = 66,363,785,602.22
  5. Step 5: Solve for x
    x = 66,363,785,602.22/269,277.10
  6. Step 6: Final answer
    x = 246,451.65

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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.