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Finding the Fourth Proportional to 471,216, 707,050.80 and 234,579.36

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Solution

The fourth proportional to 471,216, 707,050.80 and 234,579.36 is: 351,981.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,216 : 707,050.80 = 234,579.36 : x
  2. Step 2: Convert to fraction form
    471,216/707,050.80 = 234,579.36/x
  3. Step 3: Cross multiply
    471,216x = 707,050.80 × 234,579.36
  4. Step 4: Simplify right side
    471,216x = 165,859,524,151.49
  5. Step 5: Solve for x
    x = 165,859,524,151.49/471,216
  6. Step 6: Final answer
    x = 351,981.94

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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.