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Finding the Fourth Proportional to 512,273.82, 706,938.85 and 282,831.55

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Solution

The fourth proportional to 512,273.82, 706,938.85 and 282,831.55 is: 390,308.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,273.82 : 706,938.85 = 282,831.55 : x
  2. Step 2: Convert to fraction form
    512,273.82/706,938.85 = 282,831.55/x
  3. Step 3: Cross multiply
    512,273.82x = 706,938.85 × 282,831.55
  4. Step 4: Simplify right side
    512,273.82x = 199,944,610,700.72
  5. Step 5: Solve for x
    x = 199,944,610,700.72/512,273.82
  6. Step 6: Final answer
    x = 390,308.08

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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.