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Finding the Fourth Proportional to 616,108.80, 922,348.80 and 459,033.60

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Solution

The fourth proportional to 616,108.80, 922,348.80 and 459,033.60 is: 687,198.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,108.80 : 922,348.80 = 459,033.60 : x
  2. Step 2: Convert to fraction form
    616,108.80/922,348.80 = 459,033.60/x
  3. Step 3: Cross multiply
    616,108.80x = 922,348.80 × 459,033.60
  4. Step 4: Simplify right side
    616,108.80x = 423,389,090,119.68
  5. Step 5: Solve for x
    x = 423,389,090,119.68/616,108.80
  6. Step 6: Final answer
    x = 687,198.58

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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.