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Finding the Fourth Proportional to 309,533.61, 464,204.61 and 149,510.14

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Solution

The fourth proportional to 309,533.61, 464,204.61 and 149,510.14 is: 224,218.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,533.61 : 464,204.61 = 149,510.14 : x
  2. Step 2: Convert to fraction form
    309,533.61/464,204.61 = 149,510.14/x
  3. Step 3: Cross multiply
    309,533.61x = 464,204.61 × 149,510.14
  4. Step 4: Simplify right side
    309,533.61x = 69,403,296,229.75
  5. Step 5: Solve for x
    x = 69,403,296,229.75/309,533.61
  6. Step 6: Final answer
    x = 224,218.93

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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.