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Finding the Fourth Proportional to 527,830.85, 729,011.92 and 347,348.51

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Solution

The fourth proportional to 527,830.85, 729,011.92 and 347,348.51 is: 479,739.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,830.85 : 729,011.92 = 347,348.51 : x
  2. Step 2: Convert to fraction form
    527,830.85/729,011.92 = 347,348.51/x
  3. Step 3: Cross multiply
    527,830.85x = 729,011.92 × 347,348.51
  4. Step 4: Simplify right side
    527,830.85x = 253,221,204,184.24
  5. Step 5: Solve for x
    x = 253,221,204,184.24/527,830.85
  6. Step 6: Final answer
    x = 479,739.30

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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.