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Finding the Fourth Proportional to 411,029.20, 616,543.80 and 115,502.80

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Solution

The fourth proportional to 411,029.20, 616,543.80 and 115,502.80 is: 173,254.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,029.20 : 616,543.80 = 115,502.80 : x
  2. Step 2: Convert to fraction form
    411,029.20/616,543.80 = 115,502.80/x
  3. Step 3: Cross multiply
    411,029.20x = 616,543.80 × 115,502.80
  4. Step 4: Simplify right side
    411,029.20x = 71,212,535,222.64
  5. Step 5: Solve for x
    x = 71,212,535,222.64/411,029.20
  6. Step 6: Final answer
    x = 173,254.20

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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.