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Finding the Fourth Proportional to 310,614.95, 465,832.32 and 121,033.04

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Solution

The fourth proportional to 310,614.95, 465,832.32 and 121,033.04 is: 181,514.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,614.95 : 465,832.32 = 121,033.04 : x
  2. Step 2: Convert to fraction form
    310,614.95/465,832.32 = 121,033.04/x
  3. Step 3: Cross multiply
    310,614.95x = 465,832.32 × 121,033.04
  4. Step 4: Simplify right side
    310,614.95x = 56,381,099,036.82
  5. Step 5: Solve for x
    x = 56,381,099,036.82/310,614.95
  6. Step 6: Final answer
    x = 181,514.44

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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.