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Finding the Fourth Proportional to 527,195.08, 727,527.90 and 285,477.64

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Solution

The fourth proportional to 527,195.08, 727,527.90 and 285,477.64 is: 393,958.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,195.08 : 727,527.90 = 285,477.64 : x
  2. Step 2: Convert to fraction form
    527,195.08/727,527.90 = 285,477.64/x
  3. Step 3: Cross multiply
    527,195.08x = 727,527.90 × 285,477.64
  4. Step 4: Simplify right side
    527,195.08x = 207,692,948,421.14
  5. Step 5: Solve for x
    x = 207,692,948,421.14/527,195.08
  6. Step 6: Final answer
    x = 393,958.43

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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.