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Finding the Fourth Proportional to 488,122.80, 732,840.30 and 311,413.20

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Solution

The fourth proportional to 488,122.80, 732,840.30 and 311,413.20 is: 467,538.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,122.80 : 732,840.30 = 311,413.20 : x
  2. Step 2: Convert to fraction form
    488,122.80/732,840.30 = 311,413.20/x
  3. Step 3: Cross multiply
    488,122.80x = 732,840.30 × 311,413.20
  4. Step 4: Simplify right side
    488,122.80x = 228,216,142,911.96
  5. Step 5: Solve for x
    x = 228,216,142,911.96/488,122.80
  6. Step 6: Final answer
    x = 467,538.38

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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.