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Finding the Fourth Proportional to 517,661.35, 714,365.87 and 299,899.70

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Solution

The fourth proportional to 517,661.35, 714,365.87 and 299,899.70 is: 413,857.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,661.35 : 714,365.87 = 299,899.70 : x
  2. Step 2: Convert to fraction form
    517,661.35/714,365.87 = 299,899.70/x
  3. Step 3: Cross multiply
    517,661.35x = 714,365.87 × 299,899.70
  4. Step 4: Simplify right side
    517,661.35x = 214,238,107,710.78
  5. Step 5: Solve for x
    x = 214,238,107,710.78/517,661.35
  6. Step 6: Final answer
    x = 413,857.65

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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.