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Finding the Fourth Proportional to 301,126.90, 414,511.92 and 260,272.30

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Solution

The fourth proportional to 301,126.90, 414,511.92 and 260,272.30 is: 358,274.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,126.90 : 414,511.92 = 260,272.30 : x
  2. Step 2: Convert to fraction form
    301,126.90/414,511.92 = 260,272.30/x
  3. Step 3: Cross multiply
    301,126.90x = 414,511.92 × 260,272.30
  4. Step 4: Simplify right side
    301,126.90x = 107,885,970,795.82
  5. Step 5: Solve for x
    x = 107,885,970,795.82/301,126.90
  6. Step 6: Final answer
    x = 358,274.11

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