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Finding the Fourth Proportional to 488,858.60, 732,413.10 and 413,625.80

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Solution

The fourth proportional to 488,858.60, 732,413.10 and 413,625.80 is: 619,698.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,858.60 : 732,413.10 = 413,625.80 : x
  2. Step 2: Convert to fraction form
    488,858.60/732,413.10 = 413,625.80/x
  3. Step 3: Cross multiply
    488,858.60x = 732,413.10 × 413,625.80
  4. Step 4: Simplify right side
    488,858.60x = 302,944,954,417.98
  5. Step 5: Solve for x
    x = 302,944,954,417.98/488,858.60
  6. Step 6: Final answer
    x = 619,698.53

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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.