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Finding the Fourth Proportional to 471,134, 706,934.52 and 186,818.46

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Solution

The fourth proportional to 471,134, 706,934.52 and 186,818.46 is: 280,320.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,134 : 706,934.52 = 186,818.46 : x
  2. Step 2: Convert to fraction form
    471,134/706,934.52 = 186,818.46/x
  3. Step 3: Cross multiply
    471,134x = 706,934.52 × 186,818.46
  4. Step 4: Simplify right side
    471,134x = 132,068,418,347.24
  5. Step 5: Solve for x
    x = 132,068,418,347.24/471,134
  6. Step 6: Final answer
    x = 280,320.29

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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.