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Finding the Fourth Proportional to 469,523.74, 647,931 and 262,789.06

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Solution

The fourth proportional to 469,523.74, 647,931 and 262,789.06 is: 362,642.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,523.74 : 647,931 = 262,789.06 : x
  2. Step 2: Convert to fraction form
    469,523.74/647,931 = 262,789.06/x
  3. Step 3: Cross multiply
    469,523.74x = 647,931 × 262,789.06
  4. Step 4: Simplify right side
    469,523.74x = 170,269,178,434.86
  5. Step 5: Solve for x
    x = 170,269,178,434.86/469,523.74
  6. Step 6: Final answer
    x = 362,642.32

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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.