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Finding the Fourth Proportional to 471,133.76, 706,934.15 and 186,818.21

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Solution

The fourth proportional to 471,133.76, 706,934.15 and 186,818.21 is: 280,319.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,133.76 : 706,934.15 = 186,818.21 : x
  2. Step 2: Convert to fraction form
    471,133.76/706,934.15 = 186,818.21/x
  3. Step 3: Cross multiply
    471,133.76x = 706,934.15 × 186,818.21
  4. Step 4: Simplify right side
    471,133.76x = 132,068,168,022.11
  5. Step 5: Solve for x
    x = 132,068,168,022.11/471,133.76
  6. Step 6: Final answer
    x = 280,319.90

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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.