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Finding the Fourth Proportional to 291,477.78, 437,151.06 and 190,243.98

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Solution

The fourth proportional to 291,477.78, 437,151.06 and 190,243.98 is: 285,323.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,477.78 : 437,151.06 = 190,243.98 : x
  2. Step 2: Convert to fraction form
    291,477.78/437,151.06 = 190,243.98/x
  3. Step 3: Cross multiply
    291,477.78x = 437,151.06 × 190,243.98
  4. Step 4: Simplify right side
    291,477.78x = 83,165,357,515.62
  5. Step 5: Solve for x
    x = 83,165,357,515.62/291,477.78
  6. Step 6: Final answer
    x = 285,323.15

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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.