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Finding the Fourth Proportional to 527,693.77, 728,218.01 and 285,976.34

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Solution

The fourth proportional to 527,693.77, 728,218.01 and 285,976.34 is: 394,647.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,693.77 : 728,218.01 = 285,976.34 : x
  2. Step 2: Convert to fraction form
    527,693.77/728,218.01 = 285,976.34/x
  3. Step 3: Cross multiply
    527,693.77x = 728,218.01 × 285,976.34
  4. Step 4: Simplify right side
    527,693.77x = 208,253,121,026.55
  5. Step 5: Solve for x
    x = 208,253,121,026.55/527,693.77
  6. Step 6: Final answer
    x = 394,647.68

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1.5x scale

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.