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Finding the Fourth Proportional to 378,860.78, 569,509.11 and 304,803.50

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Solution

The fourth proportional to 378,860.78, 569,509.11 and 304,803.50 is: 458,185.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,860.78 : 569,509.11 = 304,803.50 : x
  2. Step 2: Convert to fraction form
    378,860.78/569,509.11 = 304,803.50/x
  3. Step 3: Cross multiply
    378,860.78x = 569,509.11 × 304,803.50
  4. Step 4: Simplify right side
    378,860.78x = 173,588,367,162.34
  5. Step 5: Solve for x
    x = 173,588,367,162.34/378,860.78
  6. Step 6: Final answer
    x = 458,185.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.