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Finding the Fourth Proportional to 314,226.72, 471,413.91 and 103,864.67

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Solution

The fourth proportional to 314,226.72, 471,413.91 and 103,864.67 is: 155,821.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,226.72 : 471,413.91 = 103,864.67 : x
  2. Step 2: Convert to fraction form
    314,226.72/471,413.91 = 103,864.67/x
  3. Step 3: Cross multiply
    314,226.72x = 471,413.91 × 103,864.67
  4. Step 4: Simplify right side
    314,226.72x = 48,963,247,838.49
  5. Step 5: Solve for x
    x = 48,963,247,838.49/314,226.72
  6. Step 6: Final answer
    x = 155,821.40

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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.