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Finding the Fourth Proportional to 468,508.47, 703,051.79 and 184,149.06

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Solution

The fourth proportional to 468,508.47, 703,051.79 and 184,149.06 is: 276,337.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,508.47 : 703,051.79 = 184,149.06 : x
  2. Step 2: Convert to fraction form
    468,508.47/703,051.79 = 184,149.06/x
  3. Step 3: Cross multiply
    468,508.47x = 703,051.79 × 184,149.06
  4. Step 4: Simplify right side
    468,508.47x = 129,466,325,339.07
  5. Step 5: Solve for x
    x = 129,466,325,339.07/468,508.47
  6. Step 6: Final answer
    x = 276,337.21

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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.