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Finding the Fourth Proportional to 472,648.70, 709,491.45 and 295,355.90

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Solution

The fourth proportional to 472,648.70, 709,491.45 and 295,355.90 is: 443,357.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,648.70 : 709,491.45 = 295,355.90 : x
  2. Step 2: Convert to fraction form
    472,648.70/709,491.45 = 295,355.90/x
  3. Step 3: Cross multiply
    472,648.70x = 709,491.45 × 295,355.90
  4. Step 4: Simplify right side
    472,648.70x = 209,552,485,757.06
  5. Step 5: Solve for x
    x = 209,552,485,757.06/472,648.70
  6. Step 6: Final answer
    x = 443,357.80

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Why These Related Problems?

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