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Finding the Fourth Proportional to 301,098.78, 414,473.40 and 260,244.27

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Solution

The fourth proportional to 301,098.78, 414,473.40 and 260,244.27 is: 358,235.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,098.78 : 414,473.40 = 260,244.27 : x
  2. Step 2: Convert to fraction form
    301,098.78/414,473.40 = 260,244.27/x
  3. Step 3: Cross multiply
    301,098.78x = 414,473.40 × 260,244.27
  4. Step 4: Simplify right side
    301,098.78x = 107,864,327,417.42
  5. Step 5: Solve for x
    x = 107,864,327,417.42/301,098.78
  6. Step 6: Final answer
    x = 358,235.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.