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Finding the Fourth Proportional to 527,540.76, 728,000.46 and 285,808.91

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Solution

The fourth proportional to 527,540.76, 728,000.46 and 285,808.91 is: 394,413.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,540.76 : 728,000.46 = 285,808.91 : x
  2. Step 2: Convert to fraction form
    527,540.76/728,000.46 = 285,808.91/x
  3. Step 3: Cross multiply
    527,540.76x = 728,000.46 × 285,808.91
  4. Step 4: Simplify right side
    527,540.76x = 208,069,014,312.10
  5. Step 5: Solve for x
    x = 208,069,014,312.10/527,540.76
  6. Step 6: Final answer
    x = 394,413.15

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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.