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Finding the Fourth Proportional to 527,716.98, 728,247.56 and 286,005.42

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Solution

The fourth proportional to 527,716.98, 728,247.56 and 286,005.42 is: 394,686.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,716.98 : 728,247.56 = 286,005.42 : x
  2. Step 2: Convert to fraction form
    527,716.98/728,247.56 = 286,005.42/x
  3. Step 3: Cross multiply
    527,716.98x = 728,247.56 × 286,005.42
  4. Step 4: Simplify right side
    527,716.98x = 208,282,746,335.55
  5. Step 5: Solve for x
    x = 208,282,746,335.55/527,716.98
  6. Step 6: Final answer
    x = 394,686.46

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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.