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Finding the Fourth Proportional to 470,058.05, 648,037.42 and 322,878.42

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Solution

The fourth proportional to 470,058.05, 648,037.42 and 322,878.42 is: 445,130.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,058.05 : 648,037.42 = 322,878.42 : x
  2. Step 2: Convert to fraction form
    470,058.05/648,037.42 = 322,878.42/x
  3. Step 3: Cross multiply
    470,058.05x = 648,037.42 × 322,878.42
  4. Step 4: Simplify right side
    470,058.05x = 209,237,298,270.48
  5. Step 5: Solve for x
    x = 209,237,298,270.48/470,058.05
  6. Step 6: Final answer
    x = 445,130.76

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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.