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Finding the Fourth Proportional to 406,012.33, 609,228.48 and 294,611.00

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Solution

The fourth proportional to 406,012.33, 609,228.48 and 294,611.00 is: 442,068.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,012.33 : 609,228.48 = 294,611.00 : x
  2. Step 2: Convert to fraction form
    406,012.33/609,228.48 = 294,611.00/x
  3. Step 3: Cross multiply
    406,012.33x = 609,228.48 × 294,611.00
  4. Step 4: Simplify right side
    406,012.33x = 179,485,413,244.35
  5. Step 5: Solve for x
    x = 179,485,413,244.35/406,012.33
  6. Step 6: Final answer
    x = 442,068.88

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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.