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Finding the Fourth Proportional to 471,923.66, 707,612.10 and 322,344.71

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Solution

The fourth proportional to 471,923.66, 707,612.10 and 322,344.71 is: 483,330.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,923.66 : 707,612.10 = 322,344.71 : x
  2. Step 2: Convert to fraction form
    471,923.66/707,612.10 = 322,344.71/x
  3. Step 3: Cross multiply
    471,923.66x = 707,612.10 × 322,344.71
  4. Step 4: Simplify right side
    471,923.66x = 228,095,013,628.93
  5. Step 5: Solve for x
    x = 228,095,013,628.93/471,923.66
  6. Step 6: Final answer
    x = 483,330.33

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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.