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Finding the Fourth Proportional to 462,841.55, 694,012.69 and 209,984.06

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Solution

The fourth proportional to 462,841.55, 694,012.69 and 209,984.06 is: 314,862.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,841.55 : 694,012.69 = 209,984.06 : x
  2. Step 2: Convert to fraction form
    462,841.55/694,012.69 = 209,984.06/x
  3. Step 3: Cross multiply
    462,841.55x = 694,012.69 × 209,984.06
  4. Step 4: Simplify right side
    462,841.55x = 145,731,604,849.07
  5. Step 5: Solve for x
    x = 145,731,604,849.07/462,841.55
  6. Step 6: Final answer
    x = 314,862.84

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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.