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Finding the Fourth Proportional to 291,807.24, 437,762.74 and 99,671.24

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Solution

The fourth proportional to 291,807.24, 437,762.74 and 99,671.24 is: 149,524.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    291,807.24 : 437,762.74 = 99,671.24 : x
  2. Step 2: Convert to fraction form
    291,807.24/437,762.74 = 99,671.24/x
  3. Step 3: Cross multiply
    291,807.24x = 437,762.74 × 99,671.24
  4. Step 4: Simplify right side
    291,807.24x = 43,632,355,121.60
  5. Step 5: Solve for x
    x = 43,632,355,121.60/291,807.24
  6. Step 6: Final answer
    x = 149,524.58

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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.