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Finding the Fourth Proportional to 518,847.30, 778,854.15 and 401,040.90

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Solution

The fourth proportional to 518,847.30, 778,854.15 and 401,040.90 is: 602,012.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,847.30 : 778,854.15 = 401,040.90 : x
  2. Step 2: Convert to fraction form
    518,847.30/778,854.15 = 401,040.90/x
  3. Step 3: Cross multiply
    518,847.30x = 778,854.15 × 401,040.90
  4. Step 4: Simplify right side
    518,847.30x = 312,352,369,284.74
  5. Step 5: Solve for x
    x = 312,352,369,284.74/518,847.30
  6. Step 6: Final answer
    x = 602,012.13

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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.