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Finding the Fourth Proportional to 585,807.14, 878,394.60 and 265,784.34

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Solution

The fourth proportional to 585,807.14, 878,394.60 and 265,784.34 is: 398,533.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,807.14 : 878,394.60 = 265,784.34 : x
  2. Step 2: Convert to fraction form
    585,807.14/878,394.60 = 265,784.34/x
  3. Step 3: Cross multiply
    585,807.14x = 878,394.60 × 265,784.34
  4. Step 4: Simplify right side
    585,807.14x = 233,463,529,020.56
  5. Step 5: Solve for x
    x = 233,463,529,020.56/585,807.14
  6. Step 6: Final answer
    x = 398,533.09

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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.