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Finding the Fourth Proportional to 533,413.46, 736,110.54 and 291,696.18

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Solution

The fourth proportional to 533,413.46, 736,110.54 and 291,696.18 is: 402,540.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,413.46 : 736,110.54 = 291,696.18 : x
  2. Step 2: Convert to fraction form
    533,413.46/736,110.54 = 291,696.18/x
  3. Step 3: Cross multiply
    533,413.46x = 736,110.54 × 291,696.18
  4. Step 4: Simplify right side
    533,413.46x = 214,720,632,575.74
  5. Step 5: Solve for x
    x = 214,720,632,575.74/533,413.46
  6. Step 6: Final answer
    x = 402,540.71

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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.