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Finding the Fourth Proportional to 738,907.29, 1,019,749.83 and 412,323

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Solution

The fourth proportional to 738,907.29, 1,019,749.83 and 412,323 is: 569,037.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,907.29 : 1,019,749.83 = 412,323 : x
  2. Step 2: Convert to fraction form
    738,907.29/1,019,749.83 = 412,323/x
  3. Step 3: Cross multiply
    738,907.29x = 1,019,749.83 × 412,323
  4. Step 4: Simplify right side
    738,907.29x = 420,466,309,155.09
  5. Step 5: Solve for x
    x = 420,466,309,155.09/738,907.29
  6. Step 6: Final answer
    x = 569,037.98

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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.