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Finding the Fourth Proportional to 735,808.16, 1,015,418.82 and 429,902

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Solution

The fourth proportional to 735,808.16, 1,015,418.82 and 429,902 is: 593,266.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,808.16 : 1,015,418.82 = 429,902 : x
  2. Step 2: Convert to fraction form
    735,808.16/1,015,418.82 = 429,902/x
  3. Step 3: Cross multiply
    735,808.16x = 1,015,418.82 × 429,902
  4. Step 4: Simplify right side
    735,808.16x = 436,530,581,555.64
  5. Step 5: Solve for x
    x = 436,530,581,555.64/735,808.16
  6. Step 6: Final answer
    x = 593,266.84

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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.