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Finding the Fourth Proportional to 613,275.96, 919,960.64 and 186,848.18

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Solution

The fourth proportional to 613,275.96, 919,960.64 and 186,848.18 is: 280,286.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,275.96 : 919,960.64 = 186,848.18 : x
  2. Step 2: Convert to fraction form
    613,275.96/919,960.64 = 186,848.18/x
  3. Step 3: Cross multiply
    613,275.96x = 919,960.64 × 186,848.18
  4. Step 4: Simplify right side
    613,275.96x = 171,892,973,286.30
  5. Step 5: Solve for x
    x = 171,892,973,286.30/613,275.96
  6. Step 6: Final answer
    x = 280,286.50

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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.