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Finding the Fourth Proportional to 310,025.88, 464,857.83 and 120,264.51

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Solution

The fourth proportional to 310,025.88, 464,857.83 and 120,264.51 is: 180,326.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,025.88 : 464,857.83 = 120,264.51 : x
  2. Step 2: Convert to fraction form
    310,025.88/464,857.83 = 120,264.51/x
  3. Step 3: Cross multiply
    310,025.88x = 464,857.83 × 120,264.51
  4. Step 4: Simplify right side
    310,025.88x = 55,905,898,543.29
  5. Step 5: Solve for x
    x = 55,905,898,543.29/310,025.88
  6. Step 6: Final answer
    x = 180,326.55

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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.