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Finding the Fourth Proportional to 470,344.59, 648,826.73 and 297,958.41

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Solution

The fourth proportional to 470,344.59, 648,826.73 and 297,958.41 is: 411,024.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,344.59 : 648,826.73 = 297,958.41 : x
  2. Step 2: Convert to fraction form
    470,344.59/648,826.73 = 297,958.41/x
  3. Step 3: Cross multiply
    470,344.59x = 648,826.73 × 297,958.41
  4. Step 4: Simplify right side
    470,344.59x = 193,323,379,346.51
  5. Step 5: Solve for x
    x = 193,323,379,346.51/470,344.59
  6. Step 6: Final answer
    x = 411,024.99

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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.