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Finding the Fourth Proportional to 492,764.94, 679,899.15 and 299,167.74

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Solution

The fourth proportional to 492,764.94, 679,899.15 and 299,167.74 is: 412,780.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,764.94 : 679,899.15 = 299,167.74 : x
  2. Step 2: Convert to fraction form
    492,764.94/679,899.15 = 299,167.74/x
  3. Step 3: Cross multiply
    492,764.94x = 679,899.15 × 299,167.74
  4. Step 4: Simplify right side
    492,764.94x = 203,403,892,133.42
  5. Step 5: Solve for x
    x = 203,403,892,133.42/492,764.94
  6. Step 6: Final answer
    x = 412,780.77

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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.