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Finding the Fourth Proportional to 750,871, 1,036,201.98 and 449,065

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Solution

The fourth proportional to 750,871, 1,036,201.98 and 449,065 is: 619,709.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    750,871 : 1,036,201.98 = 449,065 : x
  2. Step 2: Convert to fraction form
    750,871/1,036,201.98 = 449,065/x
  3. Step 3: Cross multiply
    750,871x = 1,036,201.98 × 449,065
  4. Step 4: Simplify right side
    750,871x = 465,322,042,148.70
  5. Step 5: Solve for x
    x = 465,322,042,148.70/750,871
  6. Step 6: Final answer
    x = 619,709.70

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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.