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Finding the Fourth Proportional to 997,309, 1,376,386.02 and 594,901

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Solution

The fourth proportional to 997,309, 1,376,386.02 and 594,901 is: 821,022.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    997,309 : 1,376,386.02 = 594,901 : x
  2. Step 2: Convert to fraction form
    997,309/1,376,386.02 = 594,901/x
  3. Step 3: Cross multiply
    997,309x = 1,376,386.02 × 594,901
  4. Step 4: Simplify right side
    997,309x = 818,813,419,684.02
  5. Step 5: Solve for x
    x = 818,813,419,684.02/997,309
  6. Step 6: Final answer
    x = 821,022.79

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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.