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Finding the Fourth Proportional to 821,658.40, 1,234,561.20 and 522,282.40

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Solution

The fourth proportional to 821,658.40, 1,234,561.20 and 522,282.40 is: 784,741.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    821,658.40 : 1,234,561.20 = 522,282.40 : x
  2. Step 2: Convert to fraction form
    821,658.40/1,234,561.20 = 522,282.40/x
  3. Step 3: Cross multiply
    821,658.40x = 1,234,561.20 × 522,282.40
  4. Step 4: Simplify right side
    821,658.40x = 644,789,586,482.88
  5. Step 5: Solve for x
    x = 644,789,586,482.88/821,658.40
  6. Step 6: Final answer
    x = 784,741.67

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