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Finding the Fourth Proportional to 512,223.75, 706,818.25 and 282,766.14

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Solution

The fourth proportional to 512,223.75, 706,818.25 and 282,766.14 is: 390,189.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,223.75 : 706,818.25 = 282,766.14 : x
  2. Step 2: Convert to fraction form
    512,223.75/706,818.25 = 282,766.14/x
  3. Step 3: Cross multiply
    512,223.75x = 706,818.25 × 282,766.14
  4. Step 4: Simplify right side
    512,223.75x = 199,864,268,587.51
  5. Step 5: Solve for x
    x = 199,864,268,587.51/512,223.75
  6. Step 6: Final answer
    x = 390,189.38

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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.