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Finding the Fourth Proportional to 488,127.60, 731,413.80 and 362,156.40

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Solution

The fourth proportional to 488,127.60, 731,413.80 and 362,156.40 is: 542,657.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,127.60 : 731,413.80 = 362,156.40 : x
  2. Step 2: Convert to fraction form
    488,127.60/731,413.80 = 362,156.40/x
  3. Step 3: Cross multiply
    488,127.60x = 731,413.80 × 362,156.40
  4. Step 4: Simplify right side
    488,127.60x = 264,886,188,718.32
  5. Step 5: Solve for x
    x = 264,886,188,718.32/488,127.60
  6. Step 6: Final answer
    x = 542,657.68

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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.