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Finding the Fourth Proportional to 611,178.71, 916,931.12 and 211,819.14

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Solution

The fourth proportional to 611,178.71, 916,931.12 and 211,819.14 is: 317,785.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    611,178.71 : 916,931.12 = 211,819.14 : x
  2. Step 2: Convert to fraction form
    611,178.71/916,931.12 = 211,819.14/x
  3. Step 3: Cross multiply
    611,178.71x = 916,931.12 × 211,819.14
  4. Step 4: Simplify right side
    611,178.71x = 194,223,560,218.54
  5. Step 5: Solve for x
    x = 194,223,560,218.54/611,178.71
  6. Step 6: Final answer
    x = 317,785.22

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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.