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Finding the Fourth Proportional to 518,810.90, 778,216.35 and 413,834.90

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Solution

The fourth proportional to 518,810.90, 778,216.35 and 413,834.90 is: 620,752.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,810.90 : 778,216.35 = 413,834.90 : x
  2. Step 2: Convert to fraction form
    518,810.90/778,216.35 = 413,834.90/x
  3. Step 3: Cross multiply
    518,810.90x = 778,216.35 × 413,834.90
  4. Step 4: Simplify right side
    518,810.90x = 322,053,085,380.62
  5. Step 5: Solve for x
    x = 322,053,085,380.62/518,810.90
  6. Step 6: Final answer
    x = 620,752.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.