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Finding the Fourth Proportional to 616,208.80, 922,498.80 and 459,133.60

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Solution

The fourth proportional to 616,208.80, 922,498.80 and 459,133.60 is: 687,348.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,208.80 : 922,498.80 = 459,133.60 : x
  2. Step 2: Convert to fraction form
    616,208.80/922,498.80 = 459,133.60/x
  3. Step 3: Cross multiply
    616,208.80x = 922,498.80 × 459,133.60
  4. Step 4: Simplify right side
    616,208.80x = 423,550,195,039.68
  5. Step 5: Solve for x
    x = 423,550,195,039.68/616,208.80
  6. Step 6: Final answer
    x = 687,348.50

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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.