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Finding the Fourth Proportional to 799,114, 1,102,777.32 and 441,418

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Solution

The fourth proportional to 799,114, 1,102,777.32 and 441,418 is: 609,156.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    799,114 : 1,102,777.32 = 441,418 : x
  2. Step 2: Convert to fraction form
    799,114/1,102,777.32 = 441,418/x
  3. Step 3: Cross multiply
    799,114x = 1,102,777.32 × 441,418
  4. Step 4: Simplify right side
    799,114x = 486,785,759,039.76
  5. Step 5: Solve for x
    x = 486,785,759,039.76/799,114
  6. Step 6: Final answer
    x = 609,156.84

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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.