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Finding the Fourth Proportional to 838,381, 1,156,965.80 and 456,385

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Solution

The fourth proportional to 838,381, 1,156,965.80 and 456,385 is: 629,811.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,381 : 1,156,965.80 = 456,385 : x
  2. Step 2: Convert to fraction form
    838,381/1,156,965.80 = 456,385/x
  3. Step 3: Cross multiply
    838,381x = 1,156,965.80 × 456,385
  4. Step 4: Simplify right side
    838,381x = 528,021,836,633
  5. Step 5: Solve for x
    x = 528,021,836,633/838,381
  6. Step 6: Final answer
    x = 629,811.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.