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Finding the Fourth Proportional to 314,711.70, 473,233.95 and 263,390.10

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Solution

The fourth proportional to 314,711.70, 473,233.95 and 263,390.10 is: 396,061.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,711.70 : 473,233.95 = 263,390.10 : x
  2. Step 2: Convert to fraction form
    314,711.70/473,233.95 = 263,390.10/x
  3. Step 3: Cross multiply
    314,711.70x = 473,233.95 × 263,390.10
  4. Step 4: Simplify right side
    314,711.70x = 124,645,137,413.90
  5. Step 5: Solve for x
    x = 124,645,137,413.90/314,711.70
  6. Step 6: Final answer
    x = 396,061.34

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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.