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Finding the Fourth Proportional to 477,235.25, 715,853.03 and 140,275.95

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Solution

The fourth proportional to 477,235.25, 715,853.03 and 140,275.95 is: 210,413.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,235.25 : 715,853.03 = 140,275.95 : x
  2. Step 2: Convert to fraction form
    477,235.25/715,853.03 = 140,275.95/x
  3. Step 3: Cross multiply
    477,235.25x = 715,853.03 × 140,275.95
  4. Step 4: Simplify right side
    477,235.25x = 100,416,963,142.25
  5. Step 5: Solve for x
    x = 100,416,963,142.25/477,235.25
  6. Step 6: Final answer
    x = 210,413.97

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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.