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Finding the Fourth Proportional to 509,150.83, 764,041.63 and 296,019.04

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Solution

The fourth proportional to 509,150.83, 764,041.63 and 296,019.04 is: 444,211.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,150.83 : 764,041.63 = 296,019.04 : x
  2. Step 2: Convert to fraction form
    509,150.83/764,041.63 = 296,019.04/x
  3. Step 3: Cross multiply
    509,150.83x = 764,041.63 × 296,019.04
  4. Step 4: Simplify right side
    509,150.83x = 226,170,869,832.64
  5. Step 5: Solve for x
    x = 226,170,869,832.64/509,150.83
  6. Step 6: Final answer
    x = 444,211.92

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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.