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Finding the Fourth Proportional to 512,196.65, 706,812.86 and 282,749.01

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Solution

The fourth proportional to 512,196.65, 706,812.86 and 282,749.01 is: 390,183.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,196.65 : 706,812.86 = 282,749.01 : x
  2. Step 2: Convert to fraction form
    512,196.65/706,812.86 = 282,749.01/x
  3. Step 3: Cross multiply
    512,196.65x = 706,812.86 × 282,749.01
  4. Step 4: Simplify right side
    512,196.65x = 199,850,635,006.52
  5. Step 5: Solve for x
    x = 199,850,635,006.52/512,196.65
  6. Step 6: Final answer
    x = 390,183.41

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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.