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Finding the Fourth Proportional to 704,922.12, 973,298.05 and 433,354.09

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Solution

The fourth proportional to 704,922.12, 973,298.05 and 433,354.09 is: 598,339.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    704,922.12 : 973,298.05 = 433,354.09 : x
  2. Step 2: Convert to fraction form
    704,922.12/973,298.05 = 433,354.09/x
  3. Step 3: Cross multiply
    704,922.12x = 973,298.05 × 433,354.09
  4. Step 4: Simplify right side
    704,922.12x = 421,782,690,756.53
  5. Step 5: Solve for x
    x = 421,782,690,756.53/704,922.12
  6. Step 6: Final answer
    x = 598,339.42

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