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Finding the Fourth Proportional to 689,950.76, 951,817.38 and 498,661.16

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Solution

The fourth proportional to 689,950.76, 951,817.38 and 498,661.16 is: 687,924.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,950.76 : 951,817.38 = 498,661.16 : x
  2. Step 2: Convert to fraction form
    689,950.76/951,817.38 = 498,661.16/x
  3. Step 3: Cross multiply
    689,950.76x = 951,817.38 × 498,661.16
  4. Step 4: Simplify right side
    689,950.76x = 474,634,358,818.96
  5. Step 5: Solve for x
    x = 474,634,358,818.96/689,950.76
  6. Step 6: Final answer
    x = 687,924.97

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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.