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Finding the Fourth Proportional to 302,431.90, 417,352.71 and 166,462.93

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Solution

The fourth proportional to 302,431.90, 417,352.71 and 166,462.93 is: 229,717.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,431.90 : 417,352.71 = 166,462.93 : x
  2. Step 2: Convert to fraction form
    302,431.90/417,352.71 = 166,462.93/x
  3. Step 3: Cross multiply
    302,431.90x = 417,352.71 × 166,462.93
  4. Step 4: Simplify right side
    302,431.90x = 69,473,754,950.04
  5. Step 5: Solve for x
    x = 69,473,754,950.04/302,431.90
  6. Step 6: Final answer
    x = 229,717.02

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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.