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Finding the Fourth Proportional to 472,822.92, 709,529.70 and 315,162.12

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Solution

The fourth proportional to 472,822.92, 709,529.70 and 315,162.12 is: 472,940.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,822.92 : 709,529.70 = 315,162.12 : x
  2. Step 2: Convert to fraction form
    472,822.92/709,529.70 = 315,162.12/x
  3. Step 3: Cross multiply
    472,822.92x = 709,529.70 × 315,162.12
  4. Step 4: Simplify right side
    472,822.92x = 223,616,884,454.96
  5. Step 5: Solve for x
    x = 223,616,884,454.96/472,822.92
  6. Step 6: Final answer
    x = 472,940.03

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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.