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Finding the Fourth Proportional to 520,049.10, 780,016.05 and 146,109.90

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Solution

The fourth proportional to 520,049.10, 780,016.05 and 146,109.90 is: 219,148.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,049.10 : 780,016.05 = 146,109.90 : x
  2. Step 2: Convert to fraction form
    520,049.10/780,016.05 = 146,109.90/x
  3. Step 3: Cross multiply
    520,049.10x = 780,016.05 × 146,109.90
  4. Step 4: Simplify right side
    520,049.10x = 113,968,067,063.90
  5. Step 5: Solve for x
    x = 113,968,067,063.90/520,049.10
  6. Step 6: Final answer
    x = 219,148.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.