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Finding the Fourth Proportional to 702,082.84, 1,053,233.55 and 228,658.06

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Solution

The fourth proportional to 702,082.84, 1,053,233.55 and 228,658.06 is: 343,022.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,082.84 : 1,053,233.55 = 228,658.06 : x
  2. Step 2: Convert to fraction form
    702,082.84/1,053,233.55 = 228,658.06/x
  3. Step 3: Cross multiply
    702,082.84x = 1,053,233.55 × 228,658.06
  4. Step 4: Simplify right side
    702,082.84x = 240,830,340,269.91
  5. Step 5: Solve for x
    x = 240,830,340,269.91/702,082.84
  6. Step 6: Final answer
    x = 343,022.68

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