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Finding the Fourth Proportional to 411,144.19, 616,302.30 and 171,390.85

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Solution

The fourth proportional to 411,144.19, 616,302.30 and 171,390.85 is: 256,913.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,144.19 : 616,302.30 = 171,390.85 : x
  2. Step 2: Convert to fraction form
    411,144.19/616,302.30 = 171,390.85/x
  3. Step 3: Cross multiply
    411,144.19x = 616,302.30 × 171,390.85
  4. Step 4: Simplify right side
    411,144.19x = 105,628,575,053.96
  5. Step 5: Solve for x
    x = 105,628,575,053.96/411,144.19
  6. Step 6: Final answer
    x = 256,913.70

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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.