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Finding the Fourth Proportional to 404,768.30, 607,041.56 and 152,029.24

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Solution

The fourth proportional to 404,768.30, 607,041.56 and 152,029.24 is: 228,002.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    404,768.30 : 607,041.56 = 152,029.24 : x
  2. Step 2: Convert to fraction form
    404,768.30/607,041.56 = 152,029.24/x
  3. Step 3: Cross multiply
    404,768.30x = 607,041.56 × 152,029.24
  4. Step 4: Simplify right side
    404,768.30x = 92,288,067,015.21
  5. Step 5: Solve for x
    x = 92,288,067,015.21/404,768.30
  6. Step 6: Final answer
    x = 228,002.21

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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.