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Finding the Fourth Proportional to 411,694.10, 616,666.35 and 341,710.10

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Solution

The fourth proportional to 411,694.10, 616,666.35 and 341,710.10 is: 511,839.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,694.10 : 616,666.35 = 341,710.10 : x
  2. Step 2: Convert to fraction form
    411,694.10/616,666.35 = 341,710.10/x
  3. Step 3: Cross multiply
    411,694.10x = 616,666.35 × 341,710.10
  4. Step 4: Simplify right side
    411,694.10x = 210,721,120,125.14
  5. Step 5: Solve for x
    x = 210,721,120,125.14/411,694.10
  6. Step 6: Final answer
    x = 511,839.06

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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.