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Finding the Fourth Proportional to 527,557.64, 728,027.06 and 285,840.14

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Solution

The fourth proportional to 527,557.64, 728,027.06 and 285,840.14 is: 394,458.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,557.64 : 728,027.06 = 285,840.14 : x
  2. Step 2: Convert to fraction form
    527,557.64/728,027.06 = 285,840.14/x
  3. Step 3: Cross multiply
    527,557.64x = 728,027.06 × 285,840.14
  4. Step 4: Simplify right side
    527,557.64x = 208,099,351,684.85
  5. Step 5: Solve for x
    x = 208,099,351,684.85/527,557.64
  6. Step 6: Final answer
    x = 394,458.04

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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.