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Finding the Fourth Proportional to 565,394.81, 847,960.79 and 165,928.32

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Solution

The fourth proportional to 565,394.81, 847,960.79 and 165,928.32 is: 248,853.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,394.81 : 847,960.79 = 165,928.32 : x
  2. Step 2: Convert to fraction form
    565,394.81/847,960.79 = 165,928.32/x
  3. Step 3: Cross multiply
    565,394.81x = 847,960.79 × 165,928.32
  4. Step 4: Simplify right side
    565,394.81x = 140,700,708,480.93
  5. Step 5: Solve for x
    x = 140,700,708,480.93/565,394.81
  6. Step 6: Final answer
    x = 248,853.91

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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.