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Finding the Fourth Proportional to 470,049, 648,667.62 and 258,081

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Solution

The fourth proportional to 470,049, 648,667.62 and 258,081 is: 356,151.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,049 : 648,667.62 = 258,081 : x
  2. Step 2: Convert to fraction form
    470,049/648,667.62 = 258,081/x
  3. Step 3: Cross multiply
    470,049x = 648,667.62 × 258,081
  4. Step 4: Simplify right side
    470,049x = 167,408,788,037.22
  5. Step 5: Solve for x
    x = 167,408,788,037.22/470,049
  6. Step 6: Final answer
    x = 356,151.78

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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.