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Finding the Fourth Proportional to 471,306.64, 706,502.64 and 186,904

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Solution

The fourth proportional to 471,306.64, 706,502.64 and 186,904 is: 280,174.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,306.64 : 706,502.64 = 186,904 : x
  2. Step 2: Convert to fraction form
    471,306.64/706,502.64 = 186,904/x
  3. Step 3: Cross multiply
    471,306.64x = 706,502.64 × 186,904
  4. Step 4: Simplify right side
    471,306.64x = 132,048,169,426.56
  5. Step 5: Solve for x
    x = 132,048,169,426.56/471,306.64
  6. Step 6: Final answer
    x = 280,174.64

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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.