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Finding the Fourth Proportional to 471,808.85, 707,013.43 and 346,537.49

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Solution

The fourth proportional to 471,808.85, 707,013.43 and 346,537.49 is: 519,292.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,808.85 : 707,013.43 = 346,537.49 : x
  2. Step 2: Convert to fraction form
    471,808.85/707,013.43 = 346,537.49/x
  3. Step 3: Cross multiply
    471,808.85x = 707,013.43 × 346,537.49
  4. Step 4: Simplify right side
    471,808.85x = 245,006,659,428.49
  5. Step 5: Solve for x
    x = 245,006,659,428.49/471,808.85
  6. Step 6: Final answer
    x = 519,292.21

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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.