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Finding the Fourth Proportional to 616,102.80, 922,339.80 and 459,027.60

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Solution

The fourth proportional to 616,102.80, 922,339.80 and 459,027.60 is: 687,189.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,102.80 : 922,339.80 = 459,027.60 : x
  2. Step 2: Convert to fraction form
    616,102.80/922,339.80 = 459,027.60/x
  3. Step 3: Cross multiply
    616,102.80x = 922,339.80 × 459,027.60
  4. Step 4: Simplify right side
    616,102.80x = 423,379,424,778.48
  5. Step 5: Solve for x
    x = 423,379,424,778.48/616,102.80
  6. Step 6: Final answer
    x = 687,189.58

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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.