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Finding the Fourth Proportional to 301,925.91, 416,649.28 and 165,960.12

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Solution

The fourth proportional to 301,925.91, 416,649.28 and 165,960.12 is: 229,020.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,925.91 : 416,649.28 = 165,960.12 : x
  2. Step 2: Convert to fraction form
    301,925.91/416,649.28 = 165,960.12/x
  3. Step 3: Cross multiply
    301,925.91x = 416,649.28 × 165,960.12
  4. Step 4: Simplify right side
    301,925.91x = 69,147,164,506.71
  5. Step 5: Solve for x
    x = 69,147,164,506.71/301,925.91
  6. Step 6: Final answer
    x = 229,020.31

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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.