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Finding the Fourth Proportional to 305,609.10, 458,413.65 and 278,052.90

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Solution

The fourth proportional to 305,609.10, 458,413.65 and 278,052.90 is: 417,079.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,609.10 : 458,413.65 = 278,052.90 : x
  2. Step 2: Convert to fraction form
    305,609.10/458,413.65 = 278,052.90/x
  3. Step 3: Cross multiply
    305,609.10x = 458,413.65 × 278,052.90
  4. Step 4: Simplify right side
    305,609.10x = 127,463,244,782.09
  5. Step 5: Solve for x
    x = 127,463,244,782.09/305,609.10
  6. Step 6: Final answer
    x = 417,079.35

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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.