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Finding the Fourth Proportional to 282,578, 389,732.08 and 185,881.12

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Solution

The fourth proportional to 282,578, 389,732.08 and 185,881.12 is: 256,367.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,578 : 389,732.08 = 185,881.12 : x
  2. Step 2: Convert to fraction form
    282,578/389,732.08 = 185,881.12/x
  3. Step 3: Cross multiply
    282,578x = 389,732.08 × 185,881.12
  4. Step 4: Simplify right side
    282,578x = 72,443,835,530.33
  5. Step 5: Solve for x
    x = 72,443,835,530.33/282,578
  6. Step 6: Final answer
    x = 256,367.57

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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.