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Finding the Fourth Proportional to 509,925.36, 764,858.88 and 194,414.16

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Solution

The fourth proportional to 509,925.36, 764,858.88 and 194,414.16 is: 291,610.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,925.36 : 764,858.88 = 194,414.16 : x
  2. Step 2: Convert to fraction form
    509,925.36/764,858.88 = 194,414.16/x
  3. Step 3: Cross multiply
    509,925.36x = 764,858.88 × 194,414.16
  4. Step 4: Simplify right side
    509,925.36x = 148,699,396,673.74
  5. Step 5: Solve for x
    x = 148,699,396,673.74/509,925.36
  6. Step 6: Final answer
    x = 291,610.12

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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.