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Finding the Fourth Proportional to 585,583.40, 878,399.40 and 186,212.90

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Solution

The fourth proportional to 585,583.40, 878,399.40 and 186,212.90 is: 279,327.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    585,583.40 : 878,399.40 = 186,212.90 : x
  2. Step 2: Convert to fraction form
    585,583.40/878,399.40 = 186,212.90/x
  3. Step 3: Cross multiply
    585,583.40x = 878,399.40 × 186,212.90
  4. Step 4: Simplify right side
    585,583.40x = 163,569,299,632.26
  5. Step 5: Solve for x
    x = 163,569,299,632.26/585,583.40
  6. Step 6: Final answer
    x = 279,327.08

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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.