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Finding the Fourth Proportional to 406,011.76, 609,227.64 and 294,610.44

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Solution

The fourth proportional to 406,011.76, 609,227.64 and 294,610.44 is: 442,068.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,011.76 : 609,227.64 = 294,610.44 : x
  2. Step 2: Convert to fraction form
    406,011.76/609,227.64 = 294,610.44/x
  3. Step 3: Cross multiply
    406,011.76x = 609,227.64 × 294,610.44
  4. Step 4: Simplify right side
    406,011.76x = 179,484,819,691.17
  5. Step 5: Solve for x
    x = 179,484,819,691.17/406,011.76
  6. Step 6: Final answer
    x = 442,068.03

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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.