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Finding the Fourth Proportional to 507,493.62, 761,002.11 and 294,322.14

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Solution

The fourth proportional to 507,493.62, 761,002.11 and 294,322.14 is: 441,345.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,493.62 : 761,002.11 = 294,322.14 : x
  2. Step 2: Convert to fraction form
    507,493.62/761,002.11 = 294,322.14/x
  3. Step 3: Cross multiply
    507,493.62x = 761,002.11 × 294,322.14
  4. Step 4: Simplify right side
    507,493.62x = 223,979,769,559.72
  5. Step 5: Solve for x
    x = 223,979,769,559.72/507,493.62
  6. Step 6: Final answer
    x = 441,345.00

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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.