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Finding the Fourth Proportional to 286,589.24, 395,461.75 and 165,712.24

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Solution

The fourth proportional to 286,589.24, 395,461.75 and 165,712.24 is: 228,664.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,589.24 : 395,461.75 = 165,712.24 : x
  2. Step 2: Convert to fraction form
    286,589.24/395,461.75 = 165,712.24/x
  3. Step 3: Cross multiply
    286,589.24x = 395,461.75 × 165,712.24
  4. Step 4: Simplify right side
    286,589.24x = 65,532,852,426.82
  5. Step 5: Solve for x
    x = 65,532,852,426.82/286,589.24
  6. Step 6: Final answer
    x = 228,664.73

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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.