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Finding the Fourth Proportional to 527,899.29, 728,783.67 and 412,933.67

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Solution

The fourth proportional to 527,899.29, 728,783.67 and 412,933.67 is: 570,069.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    527,899.29 : 728,783.67 = 412,933.67 : x
  2. Step 2: Convert to fraction form
    527,899.29/728,783.67 = 412,933.67/x
  3. Step 3: Cross multiply
    527,899.29x = 728,783.67 × 412,933.67
  4. Step 4: Simplify right side
    527,899.29x = 300,939,315,489.17
  5. Step 5: Solve for x
    x = 300,939,315,489.17/527,899.29
  6. Step 6: Final answer
    x = 570,069.56

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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.