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Finding the Fourth Proportional to 280,413.91, 386,956.53 and 153,064.90

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Solution

The fourth proportional to 280,413.91, 386,956.53 and 153,064.90 is: 211,221.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,413.91 : 386,956.53 = 153,064.90 : x
  2. Step 2: Convert to fraction form
    280,413.91/386,956.53 = 153,064.90/x
  3. Step 3: Cross multiply
    280,413.91x = 386,956.53 × 153,064.90
  4. Step 4: Simplify right side
    280,413.91x = 59,229,462,568.80
  5. Step 5: Solve for x
    x = 59,229,462,568.80/280,413.91
  6. Step 6: Final answer
    x = 211,221.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.