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Finding the Fourth Proportional to 358,835.60, 538,123.80 and 181,283.60

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Solution

The fourth proportional to 358,835.60, 538,123.80 and 181,283.60 is: 271,859.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,835.60 : 538,123.80 = 181,283.60 : x
  2. Step 2: Convert to fraction form
    358,835.60/538,123.80 = 181,283.60/x
  3. Step 3: Cross multiply
    358,835.60x = 538,123.80 × 181,283.60
  4. Step 4: Simplify right side
    358,835.60x = 97,553,019,709.68
  5. Step 5: Solve for x
    x = 97,553,019,709.68/358,835.60
  6. Step 6: Final answer
    x = 271,859.93

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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.