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Finding the Fourth Proportional to 354,943.19, 532,415.68 and 141,728.46

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Solution

The fourth proportional to 354,943.19, 532,415.68 and 141,728.46 is: 212,593.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,943.19 : 532,415.68 = 141,728.46 : x
  2. Step 2: Convert to fraction form
    354,943.19/532,415.68 = 141,728.46/x
  3. Step 3: Cross multiply
    354,943.19x = 532,415.68 × 141,728.46
  4. Step 4: Simplify right side
    354,943.19x = 75,458,455,050.21
  5. Step 5: Solve for x
    x = 75,458,455,050.21/354,943.19
  6. Step 6: Final answer
    x = 212,593.05

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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.