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Finding the Fourth Proportional to 484,413.29, 726,669.47 and 185,145.76

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Solution

The fourth proportional to 484,413.29, 726,669.47 and 185,145.76 is: 277,737.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,413.29 : 726,669.47 = 185,145.76 : x
  2. Step 2: Convert to fraction form
    484,413.29/726,669.47 = 185,145.76/x
  3. Step 3: Cross multiply
    484,413.29x = 726,669.47 × 185,145.76
  4. Step 4: Simplify right side
    484,413.29x = 134,539,771,291.95
  5. Step 5: Solve for x
    x = 134,539,771,291.95/484,413.29
  6. Step 6: Final answer
    x = 277,737.57

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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.