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Finding the Fourth Proportional to 509,904.22, 764,294.88 and 210,220.42

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Solution

The fourth proportional to 509,904.22, 764,294.88 and 210,220.42 is: 315,099.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,904.22 : 764,294.88 = 210,220.42 : x
  2. Step 2: Convert to fraction form
    509,904.22/764,294.88 = 210,220.42/x
  3. Step 3: Cross multiply
    509,904.22x = 764,294.88 × 210,220.42
  4. Step 4: Simplify right side
    509,904.22x = 160,670,390,677.45
  5. Step 5: Solve for x
    x = 160,670,390,677.45/509,904.22
  6. Step 6: Final answer
    x = 315,099.16

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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.