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Finding the Fourth Proportional to 471,649.24, 707,560.01 and 218,894.92

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Solution

The fourth proportional to 471,649.24, 707,560.01 and 218,894.92 is: 328,382.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,649.24 : 707,560.01 = 218,894.92 : x
  2. Step 2: Convert to fraction form
    471,649.24/707,560.01 = 218,894.92/x
  3. Step 3: Cross multiply
    471,649.24x = 707,560.01 × 218,894.92
  4. Step 4: Simplify right side
    471,649.24x = 154,881,289,741.63
  5. Step 5: Solve for x
    x = 154,881,289,741.63/471,649.24
  6. Step 6: Final answer
    x = 328,382.36

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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.