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Finding the Fourth Proportional to 518,884.80, 778,910.40 and 401,078.40

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Solution

The fourth proportional to 518,884.80, 778,910.40 and 401,078.40 is: 602,068.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    518,884.80 : 778,910.40 = 401,078.40 : x
  2. Step 2: Convert to fraction form
    518,884.80/778,910.40 = 401,078.40/x
  3. Step 3: Cross multiply
    518,884.80x = 778,910.40 × 401,078.40
  4. Step 4: Simplify right side
    518,884.80x = 312,404,136,975.36
  5. Step 5: Solve for x
    x = 312,404,136,975.36/518,884.80
  6. Step 6: Final answer
    x = 602,068.39

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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.