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Finding the Fourth Proportional to 403,011.60, 605,829.60 and 285,496.80

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Solution

The fourth proportional to 403,011.60, 605,829.60 and 285,496.80 is: 429,174.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,011.60 : 605,829.60 = 285,496.80 : x
  2. Step 2: Convert to fraction form
    403,011.60/605,829.60 = 285,496.80/x
  3. Step 3: Cross multiply
    403,011.60x = 605,829.60 × 285,496.80
  4. Step 4: Simplify right side
    403,011.60x = 172,962,412,145.28
  5. Step 5: Solve for x
    x = 172,962,412,145.28/403,011.60
  6. Step 6: Final answer
    x = 429,174.77

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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.