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Finding the Fourth Proportional to 310,259.89, 464,959.26 and 141,367.46

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Solution

The fourth proportional to 310,259.89, 464,959.26 and 141,367.46 is: 211,855.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,259.89 : 464,959.26 = 141,367.46 : x
  2. Step 2: Convert to fraction form
    310,259.89/464,959.26 = 141,367.46/x
  3. Step 3: Cross multiply
    310,259.89x = 464,959.26 × 141,367.46
  4. Step 4: Simplify right side
    310,259.89x = 65,730,110,752.08
  5. Step 5: Solve for x
    x = 65,730,110,752.08/310,259.89
  6. Step 6: Final answer
    x = 211,855.01

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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.