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Finding the Fourth Proportional to 527,648.60, 728,157.64 and 285,931.12

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Solution

The fourth proportional to 527,648.60, 728,157.64 and 285,931.12 is: 394,586.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,648.60 : 728,157.64 = 285,931.12 : x
  2. Step 2: Convert to fraction form
    527,648.60/728,157.64 = 285,931.12/x
  3. Step 3: Cross multiply
    527,648.60x = 728,157.64 × 285,931.12
  4. Step 4: Simplify right side
    527,648.60x = 208,202,929,541.76
  5. Step 5: Solve for x
    x = 208,202,929,541.76/527,648.60
  6. Step 6: Final answer
    x = 394,586.34

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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.