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Finding the Fourth Proportional to 538,484.68, 807,823.06 and 178,677.16

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Solution

The fourth proportional to 538,484.68, 807,823.06 and 178,677.16 is: 268,047.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,484.68 : 807,823.06 = 178,677.16 : x
  2. Step 2: Convert to fraction form
    538,484.68/807,823.06 = 178,677.16/x
  3. Step 3: Cross multiply
    538,484.68x = 807,823.06 × 178,677.16
  4. Step 4: Simplify right side
    538,484.68x = 144,339,530,143.31
  5. Step 5: Solve for x
    x = 144,339,530,143.31/538,484.68
  6. Step 6: Final answer
    x = 268,047.61

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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.