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Finding the Fourth Proportional to 620,506.90, 929,776.20 and 409,898.80

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Solution

The fourth proportional to 620,506.90, 929,776.20 and 409,898.80 is: 614,198.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,506.90 : 929,776.20 = 409,898.80 : x
  2. Step 2: Convert to fraction form
    620,506.90/929,776.20 = 409,898.80/x
  3. Step 3: Cross multiply
    620,506.90x = 929,776.20 × 409,898.80
  4. Step 4: Simplify right side
    620,506.90x = 381,114,148,648.56
  5. Step 5: Solve for x
    x = 381,114,148,648.56/620,506.90
  6. Step 6: Final answer
    x = 614,198.08

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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.