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Finding the Fourth Proportional to 514,464.34, 709,832.55 and 296,739.58

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Solution

The fourth proportional to 514,464.34, 709,832.55 and 296,739.58 is: 409,426.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,464.34 : 709,832.55 = 296,739.58 : x
  2. Step 2: Convert to fraction form
    514,464.34/709,832.55 = 296,739.58/x
  3. Step 3: Cross multiply
    514,464.34x = 709,832.55 × 296,739.58
  4. Step 4: Simplify right side
    514,464.34x = 210,635,412,757.33
  5. Step 5: Solve for x
    x = 210,635,412,757.33/514,464.34
  6. Step 6: Final answer
    x = 409,426.65

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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.