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Finding the Fourth Proportional to 536,906.28, 805,359.62 and 157,827.02

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Solution

The fourth proportional to 536,906.28, 805,359.62 and 157,827.02 is: 236,740.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,906.28 : 805,359.62 = 157,827.02 : x
  2. Step 2: Convert to fraction form
    536,906.28/805,359.62 = 157,827.02/x
  3. Step 3: Cross multiply
    536,906.28x = 805,359.62 × 157,827.02
  4. Step 4: Simplify right side
    536,906.28x = 127,107,508,852.93
  5. Step 5: Solve for x
    x = 127,107,508,852.93/536,906.28
  6. Step 6: Final answer
    x = 236,740.59

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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.