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Finding the Fourth Proportional to 280,165.72, 386,698.44 and 172,823.80

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Solution

The fourth proportional to 280,165.72, 386,698.44 and 172,823.80 is: 238,539.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,165.72 : 386,698.44 = 172,823.80 : x
  2. Step 2: Convert to fraction form
    280,165.72/386,698.44 = 172,823.80/x
  3. Step 3: Cross multiply
    280,165.72x = 386,698.44 × 172,823.80
  4. Step 4: Simplify right side
    280,165.72x = 66,830,693,854.87
  5. Step 5: Solve for x
    x = 66,830,693,854.87/280,165.72
  6. Step 6: Final answer
    x = 238,539.87

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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.