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Finding the Fourth Proportional to 537,082.90, 804,933.15 and 411,802.90

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Solution

The fourth proportional to 537,082.90, 804,933.15 and 411,802.90 is: 617,174.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,082.90 : 804,933.15 = 411,802.90 : x
  2. Step 2: Convert to fraction form
    537,082.90/804,933.15 = 411,802.90/x
  3. Step 3: Cross multiply
    537,082.90x = 804,933.15 × 411,802.90
  4. Step 4: Simplify right side
    537,082.90x = 331,473,805,476.14
  5. Step 5: Solve for x
    x = 331,473,805,476.14/537,082.90
  6. Step 6: Final answer
    x = 617,174.38

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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.