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Finding the Fourth Proportional to 653,353.74, 978,601.77 and 463,237.83

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Solution

The fourth proportional to 653,353.74, 978,601.77 and 463,237.83 is: 693,843.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,353.74 : 978,601.77 = 463,237.83 : x
  2. Step 2: Convert to fraction form
    653,353.74/978,601.77 = 463,237.83/x
  3. Step 3: Cross multiply
    653,353.74x = 978,601.77 × 463,237.83
  4. Step 4: Simplify right side
    653,353.74x = 453,325,360,368.96
  5. Step 5: Solve for x
    x = 453,325,360,368.96/653,353.74
  6. Step 6: Final answer
    x = 693,843.68

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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.