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Finding the Fourth Proportional to 301,717.16, 416,310.76 and 172,695.10

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Solution

The fourth proportional to 301,717.16, 416,310.76 and 172,695.10 is: 238,285.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,717.16 : 416,310.76 = 172,695.10 : x
  2. Step 2: Convert to fraction form
    301,717.16/416,310.76 = 172,695.10/x
  3. Step 3: Cross multiply
    301,717.16x = 416,310.76 × 172,695.10
  4. Step 4: Simplify right side
    301,717.16x = 71,894,828,329.28
  5. Step 5: Solve for x
    x = 71,894,828,329.28/301,717.16
  6. Step 6: Final answer
    x = 238,285.51

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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.