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Finding the Fourth Proportional to 527,797.11, 728,437.83 and 334,222.49

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Solution

The fourth proportional to 527,797.11, 728,437.83 and 334,222.49 is: 461,276.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,797.11 : 728,437.83 = 334,222.49 : x
  2. Step 2: Convert to fraction form
    527,797.11/728,437.83 = 334,222.49/x
  3. Step 3: Cross multiply
    527,797.11x = 728,437.83 × 334,222.49
  4. Step 4: Simplify right side
    527,797.11x = 243,460,305,352.80
  5. Step 5: Solve for x
    x = 243,460,305,352.80/527,797.11
  6. Step 6: Final answer
    x = 461,276.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.