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Finding the Fourth Proportional to 301,813.48, 416,514.72 and 172,772.92

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Solution

The fourth proportional to 301,813.48, 416,514.72 and 172,772.92 is: 238,433.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,813.48 : 416,514.72 = 172,772.92 : x
  2. Step 2: Convert to fraction form
    301,813.48/416,514.72 = 172,772.92/x
  3. Step 3: Cross multiply
    301,813.48x = 416,514.72 × 172,772.92
  4. Step 4: Simplify right side
    301,813.48x = 71,962,464,397.38
  5. Step 5: Solve for x
    x = 71,962,464,397.38/301,813.48
  6. Step 6: Final answer
    x = 238,433.57

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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.