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Finding the Fourth Proportional to 417,413.95, 626,419.87 and 177,695.92

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Solution

The fourth proportional to 417,413.95, 626,419.87 and 177,695.92 is: 266,671.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,413.95 : 626,419.87 = 177,695.92 : x
  2. Step 2: Convert to fraction form
    417,413.95/626,419.87 = 177,695.92/x
  3. Step 3: Cross multiply
    417,413.95x = 626,419.87 × 177,695.92
  4. Step 4: Simplify right side
    417,413.95x = 111,312,255,105.93
  5. Step 5: Solve for x
    x = 111,312,255,105.93/417,413.95
  6. Step 6: Final answer
    x = 266,671.14

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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.