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Finding the Fourth Proportional to 702,666, 1,054,028.16 and 204,030

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Solution

The fourth proportional to 702,666, 1,054,028.16 and 204,030 is: 306,053.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,666 : 1,054,028.16 = 204,030 : x
  2. Step 2: Convert to fraction form
    702,666/1,054,028.16 = 204,030/x
  3. Step 3: Cross multiply
    702,666x = 1,054,028.16 × 204,030
  4. Step 4: Simplify right side
    702,666x = 215,053,365,484.80
  5. Step 5: Solve for x
    x = 215,053,365,484.80/702,666
  6. Step 6: Final answer
    x = 306,053.47

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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.