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Finding the Fourth Proportional to 448,015.86, 671,790.47 and 211,294.98

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Solution

The fourth proportional to 448,015.86, 671,790.47 and 211,294.98 is: 316,832.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,015.86 : 671,790.47 = 211,294.98 : x
  2. Step 2: Convert to fraction form
    448,015.86/671,790.47 = 211,294.98/x
  3. Step 3: Cross multiply
    448,015.86x = 671,790.47 × 211,294.98
  4. Step 4: Simplify right side
    448,015.86x = 141,945,952,866.37
  5. Step 5: Solve for x
    x = 141,945,952,866.37/448,015.86
  6. Step 6: Final answer
    x = 316,832.43

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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.