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Finding the Fourth Proportional to 261,226.38, 360,496.47 and 146,530.47

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Solution

The fourth proportional to 261,226.38, 360,496.47 and 146,530.47 is: 202,214.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,226.38 : 360,496.47 = 146,530.47 : x
  2. Step 2: Convert to fraction form
    261,226.38/360,496.47 = 146,530.47/x
  3. Step 3: Cross multiply
    261,226.38x = 360,496.47 × 146,530.47
  4. Step 4: Simplify right side
    261,226.38x = 52,823,717,182.44
  5. Step 5: Solve for x
    x = 52,823,717,182.44/261,226.38
  6. Step 6: Final answer
    x = 202,214.33

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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.