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Finding the Fourth Proportional to 638,920.40, 957,214.20 and 519,947.60

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Solution

The fourth proportional to 638,920.40, 957,214.20 and 519,947.60 is: 778,972.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,920.40 : 957,214.20 = 519,947.60 : x
  2. Step 2: Convert to fraction form
    638,920.40/957,214.20 = 519,947.60/x
  3. Step 3: Cross multiply
    638,920.40x = 957,214.20 × 519,947.60
  4. Step 4: Simplify right side
    638,920.40x = 497,701,225,975.92
  5. Step 5: Solve for x
    x = 497,701,225,975.92/638,920.40
  6. Step 6: Final answer
    x = 778,972.19

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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.