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Finding the Fourth Proportional to 404,506.20, 607,148.10 and 205,051.80

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Solution

The fourth proportional to 404,506.20, 607,148.10 and 205,051.80 is: 307,774.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,506.20 : 607,148.10 = 205,051.80 : x
  2. Step 2: Convert to fraction form
    404,506.20/607,148.10 = 205,051.80/x
  3. Step 3: Cross multiply
    404,506.20x = 607,148.10 × 205,051.80
  4. Step 4: Simplify right side
    404,506.20x = 124,496,810,771.58
  5. Step 5: Solve for x
    x = 124,496,810,771.58/404,506.20
  6. Step 6: Final answer
    x = 307,774.79

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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.