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Finding the Fourth Proportional to 803,005, 1,204,974.06 and 359,773

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Solution

The fourth proportional to 803,005, 1,204,974.06 and 359,773 is: 539,868.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,005 : 1,204,974.06 = 359,773 : x
  2. Step 2: Convert to fraction form
    803,005/1,204,974.06 = 359,773/x
  3. Step 3: Cross multiply
    803,005x = 1,204,974.06 × 359,773
  4. Step 4: Simplify right side
    803,005x = 433,517,132,488.38
  5. Step 5: Solve for x
    x = 433,517,132,488.38/803,005
  6. Step 6: Final answer
    x = 539,868.53

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Why These Related Problems?

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