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Finding the Fourth Proportional to 540,734.86, 811,803.48 and 361,964.01

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Solution

The fourth proportional to 540,734.86, 811,803.48 and 361,964.01 is: 543,415.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,734.86 : 811,803.48 = 361,964.01 : x
  2. Step 2: Convert to fraction form
    540,734.86/811,803.48 = 361,964.01/x
  3. Step 3: Cross multiply
    540,734.86x = 811,803.48 × 361,964.01
  4. Step 4: Simplify right side
    540,734.86x = 293,843,642,952.76
  5. Step 5: Solve for x
    x = 293,843,642,952.76/540,734.86
  6. Step 6: Final answer
    x = 543,415.39

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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.