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Finding the Fourth Proportional to 517,716.48, 714,277.50 and 302,704.31

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Solution

The fourth proportional to 517,716.48, 714,277.50 and 302,704.31 is: 417,631.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,716.48 : 714,277.50 = 302,704.31 : x
  2. Step 2: Convert to fraction form
    517,716.48/714,277.50 = 302,704.31/x
  3. Step 3: Cross multiply
    517,716.48x = 714,277.50 × 302,704.31
  4. Step 4: Simplify right side
    517,716.48x = 216,214,877,786.03
  5. Step 5: Solve for x
    x = 216,214,877,786.03/517,716.48
  6. Step 6: Final answer
    x = 417,631.82

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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.