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Finding the Fourth Proportional to 314,226.47, 471,413.54 and 103,864.42

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Solution

The fourth proportional to 314,226.47, 471,413.54 and 103,864.42 is: 155,821.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,226.47 : 471,413.54 = 103,864.42 : x
  2. Step 2: Convert to fraction form
    314,226.47/471,413.54 = 103,864.42/x
  3. Step 3: Cross multiply
    314,226.47x = 471,413.54 × 103,864.42
  4. Step 4: Simplify right side
    314,226.47x = 48,963,091,035.86
  5. Step 5: Solve for x
    x = 48,963,091,035.86/314,226.47
  6. Step 6: Final answer
    x = 155,821.03

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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.