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Finding the Fourth Proportional to 733,709.34, 1,097,804.61 and 434,330.82

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Solution

The fourth proportional to 733,709.34, 1,097,804.61 and 434,330.82 is: 649,862.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,709.34 : 1,097,804.61 = 434,330.82 : x
  2. Step 2: Convert to fraction form
    733,709.34/1,097,804.61 = 434,330.82/x
  3. Step 3: Cross multiply
    733,709.34x = 1,097,804.61 × 434,330.82
  4. Step 4: Simplify right side
    733,709.34x = 476,810,376,461.08
  5. Step 5: Solve for x
    x = 476,810,376,461.08/733,709.34
  6. Step 6: Final answer
    x = 649,862.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.