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Finding the Fourth Proportional to 585,842.58, 878,763.93 and 211,778.10

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Solution

The fourth proportional to 585,842.58, 878,763.93 and 211,778.10 is: 317,667.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,842.58 : 878,763.93 = 211,778.10 : x
  2. Step 2: Convert to fraction form
    585,842.58/878,763.93 = 211,778.10/x
  3. Step 3: Cross multiply
    585,842.58x = 878,763.93 × 211,778.10
  4. Step 4: Simplify right side
    585,842.58x = 186,102,955,443.93
  5. Step 5: Solve for x
    x = 186,102,955,443.93/585,842.58
  6. Step 6: Final answer
    x = 317,667.17

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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.