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Finding the Fourth Proportional to 767,952.86, 1,151,798.01 and 206,856.14

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Solution

The fourth proportional to 767,952.86, 1,151,798.01 and 206,856.14 is: 310,248.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    767,952.86 : 1,151,798.01 = 206,856.14 : x
  2. Step 2: Convert to fraction form
    767,952.86/1,151,798.01 = 206,856.14/x
  3. Step 3: Cross multiply
    767,952.86x = 1,151,798.01 × 206,856.14
  4. Step 4: Simplify right side
    767,952.86x = 238,256,490,408.28
  5. Step 5: Solve for x
    x = 238,256,490,408.28/767,952.86
  6. Step 6: Final answer
    x = 310,248.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.