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Finding the Fourth Proportional to 585,841.02, 878,724.38 and 186,768.14

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Solution

The fourth proportional to 585,841.02, 878,724.38 and 186,768.14 is: 280,140.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,841.02 : 878,724.38 = 186,768.14 : x
  2. Step 2: Convert to fraction form
    585,841.02/878,724.38 = 186,768.14/x
  3. Step 3: Cross multiply
    585,841.02x = 878,724.38 × 186,768.14
  4. Step 4: Simplify right side
    585,841.02x = 164,117,718,025.25
  5. Step 5: Solve for x
    x = 164,117,718,025.25/585,841.02
  6. Step 6: Final answer
    x = 280,140.37

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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.