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Finding the Fourth Proportional to 302,110.77, 416,915.49 and 164,290.17

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Solution

The fourth proportional to 302,110.77, 416,915.49 and 164,290.17 is: 226,721.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,110.77 : 416,915.49 = 164,290.17 : x
  2. Step 2: Convert to fraction form
    302,110.77/416,915.49 = 164,290.17/x
  3. Step 3: Cross multiply
    302,110.77x = 416,915.49 × 164,290.17
  4. Step 4: Simplify right side
    302,110.77x = 68,495,116,727.73
  5. Step 5: Solve for x
    x = 68,495,116,727.73/302,110.77
  6. Step 6: Final answer
    x = 226,721.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.