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Finding the Fourth Proportional to 700,162, 966,223.56 and 382,210

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Solution

The fourth proportional to 700,162, 966,223.56 and 382,210 is: 527,449.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    700,162 : 966,223.56 = 382,210 : x
  2. Step 2: Convert to fraction form
    700,162/966,223.56 = 382,210/x
  3. Step 3: Cross multiply
    700,162x = 966,223.56 × 382,210
  4. Step 4: Simplify right side
    700,162x = 369,300,306,867.60
  5. Step 5: Solve for x
    x = 369,300,306,867.60/700,162
  6. Step 6: Final answer
    x = 527,449.80

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