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Finding the Fourth Proportional to 585,792, 878,166.72 and 211,731.84

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Solution

The fourth proportional to 585,792, 878,166.72 and 211,731.84 is: 317,409.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,792 : 878,166.72 = 211,731.84 : x
  2. Step 2: Convert to fraction form
    585,792/878,166.72 = 211,731.84/x
  3. Step 3: Cross multiply
    585,792x = 878,166.72 × 211,731.84
  4. Step 4: Simplify right side
    585,792x = 185,935,855,452.37
  5. Step 5: Solve for x
    x = 185,935,855,452.37/585,792
  6. Step 6: Final answer
    x = 317,409.35

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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.