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Finding the Fourth Proportional to 403,007.60, 605,823.60 and 285,492.80

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Solution

The fourth proportional to 403,007.60, 605,823.60 and 285,492.80 is: 429,168.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,007.60 : 605,823.60 = 285,492.80 : x
  2. Step 2: Convert to fraction form
    403,007.60/605,823.60 = 285,492.80/x
  3. Step 3: Cross multiply
    403,007.60x = 605,823.60 × 285,492.80
  4. Step 4: Simplify right side
    403,007.60x = 172,958,275,870.08
  5. Step 5: Solve for x
    x = 172,958,275,870.08/403,007.60
  6. Step 6: Final answer
    x = 429,168.77

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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.