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Finding the Fourth Proportional to 564,741.24, 779,191.02 and 335,107.86

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Solution

The fourth proportional to 564,741.24, 779,191.02 and 335,107.86 is: 462,358.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,741.24 : 779,191.02 = 335,107.86 : x
  2. Step 2: Convert to fraction form
    564,741.24/779,191.02 = 335,107.86/x
  3. Step 3: Cross multiply
    564,741.24x = 779,191.02 × 335,107.86
  4. Step 4: Simplify right side
    564,741.24x = 261,113,035,243.42
  5. Step 5: Solve for x
    x = 261,113,035,243.42/564,741.24
  6. Step 6: Final answer
    x = 462,358.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.