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Finding the Fourth Proportional to 512,223.11, 706,849.34 and 282,775.47

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Solution

The fourth proportional to 512,223.11, 706,849.34 and 282,775.47 is: 390,219.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,223.11 : 706,849.34 = 282,775.47 : x
  2. Step 2: Convert to fraction form
    512,223.11/706,849.34 = 282,775.47/x
  3. Step 3: Cross multiply
    512,223.11x = 706,849.34 × 282,775.47
  4. Step 4: Simplify right side
    512,223.11x = 199,879,652,923.81
  5. Step 5: Solve for x
    x = 199,879,652,923.81/512,223.11
  6. Step 6: Final answer
    x = 390,219.91

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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.