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Finding the Fourth Proportional to 538,908.44, 808,492.54 and 201,952.04

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Solution

The fourth proportional to 538,908.44, 808,492.54 and 201,952.04 is: 302,976.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,908.44 : 808,492.54 = 201,952.04 : x
  2. Step 2: Convert to fraction form
    538,908.44/808,492.54 = 201,952.04/x
  3. Step 3: Cross multiply
    538,908.44x = 808,492.54 × 201,952.04
  4. Step 4: Simplify right side
    538,908.44x = 163,276,712,725.56
  5. Step 5: Solve for x
    x = 163,276,712,725.56/538,908.44
  6. Step 6: Final answer
    x = 302,976.72

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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.