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Finding the Fourth Proportional to 310,134.52, 464,906.22 and 99,624.64

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Solution

The fourth proportional to 310,134.52, 464,906.22 and 99,624.64 is: 149,342.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,134.52 : 464,906.22 = 99,624.64 : x
  2. Step 2: Convert to fraction form
    310,134.52/464,906.22 = 99,624.64/x
  3. Step 3: Cross multiply
    310,134.52x = 464,906.22 × 99,624.64
  4. Step 4: Simplify right side
    310,134.52x = 46,316,114,801.26
  5. Step 5: Solve for x
    x = 46,316,114,801.26/310,134.52
  6. Step 6: Final answer
    x = 149,342.02

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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.