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Finding the Fourth Proportional to 946,889, 1,306,706.76 and 517,170.14

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Solution

The fourth proportional to 946,889, 1,306,706.76 and 517,170.14 is: 713,694.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,889 : 1,306,706.76 = 517,170.14 : x
  2. Step 2: Convert to fraction form
    946,889/1,306,706.76 = 517,170.14/x
  3. Step 3: Cross multiply
    946,889x = 1,306,706.76 × 517,170.14
  4. Step 4: Simplify right side
    946,889x = 675,789,718,008.15
  5. Step 5: Solve for x
    x = 675,789,718,008.15/946,889
  6. Step 6: Final answer
    x = 713,694.76

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Why These Related Problems?

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