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Finding the Fourth Proportional to 538,803.81, 808,176.42 and 164,826.81

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Solution

The fourth proportional to 538,803.81, 808,176.42 and 164,826.81 is: 247,231.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,803.81 : 808,176.42 = 164,826.81 : x
  2. Step 2: Convert to fraction form
    538,803.81/808,176.42 = 164,826.81/x
  3. Step 3: Cross multiply
    538,803.81x = 808,176.42 × 164,826.81
  4. Step 4: Simplify right side
    538,803.81x = 133,209,141,225.82
  5. Step 5: Solve for x
    x = 133,209,141,225.82/538,803.81
  6. Step 6: Final answer
    x = 247,231.25

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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.