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Finding the Fourth Proportional to 514,180.08, 709,575.96 and 296,268.48

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Solution

The fourth proportional to 514,180.08, 709,575.96 and 296,268.48 is: 408,854.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,180.08 : 709,575.96 = 296,268.48 : x
  2. Step 2: Convert to fraction form
    514,180.08/709,575.96 = 296,268.48/x
  3. Step 3: Cross multiply
    514,180.08x = 709,575.96 × 296,268.48
  4. Step 4: Simplify right side
    514,180.08x = 210,224,991,113.74
  5. Step 5: Solve for x
    x = 210,224,991,113.74/514,180.08
  6. Step 6: Final answer
    x = 408,854.79

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