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Finding the Fourth Proportional to 301,605.72, 452,408.30 and 76,966.16

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Solution

The fourth proportional to 301,605.72, 452,408.30 and 76,966.16 is: 115,449.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,605.72 : 452,408.30 = 76,966.16 : x
  2. Step 2: Convert to fraction form
    301,605.72/452,408.30 = 76,966.16/x
  3. Step 3: Cross multiply
    301,605.72x = 452,408.30 × 76,966.16
  4. Step 4: Simplify right side
    301,605.72x = 34,820,129,603.13
  5. Step 5: Solve for x
    x = 34,820,129,603.13/301,605.72
  6. Step 6: Final answer
    x = 115,449.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.