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Finding the Fourth Proportional to 470,331.34, 648,808.46 and 297,945.16

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Solution

The fourth proportional to 470,331.34, 648,808.46 and 297,945.16 is: 411,006.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,331.34 : 648,808.46 = 297,945.16 : x
  2. Step 2: Convert to fraction form
    470,331.34/648,808.46 = 297,945.16/x
  3. Step 3: Cross multiply
    470,331.34x = 648,808.46 × 297,945.16
  4. Step 4: Simplify right side
    470,331.34x = 193,309,340,424.05
  5. Step 5: Solve for x
    x = 193,309,340,424.05/470,331.34
  6. Step 6: Final answer
    x = 411,006.72

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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.