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Finding the Fourth Proportional to 533,132.68, 735,702.76 and 291,413.20

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Solution

The fourth proportional to 533,132.68, 735,702.76 and 291,413.20 is: 402,139.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,132.68 : 735,702.76 = 291,413.20 : x
  2. Step 2: Convert to fraction form
    533,132.68/735,702.76 = 291,413.20/x
  3. Step 3: Cross multiply
    533,132.68x = 735,702.76 × 291,413.20
  4. Step 4: Simplify right side
    533,132.68x = 214,393,495,540.43
  5. Step 5: Solve for x
    x = 214,393,495,540.43/533,132.68
  6. Step 6: Final answer
    x = 402,139.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.