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Finding the Fourth Proportional to 289,415.52, 433,773.36 and 149,097.60

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Solution

The fourth proportional to 289,415.52, 433,773.36 and 149,097.60 is: 223,466.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,415.52 : 433,773.36 = 149,097.60 : x
  2. Step 2: Convert to fraction form
    289,415.52/433,773.36 = 149,097.60/x
  3. Step 3: Cross multiply
    289,415.52x = 433,773.36 × 149,097.60
  4. Step 4: Simplify right side
    289,415.52x = 64,674,566,919.94
  5. Step 5: Solve for x
    x = 64,674,566,919.94/289,415.52
  6. Step 6: Final answer
    x = 223,466.13

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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.