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Finding the Fourth Proportional to 541,031.63, 746,658.20 and 302,567.63

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Solution

The fourth proportional to 541,031.63, 746,658.20 and 302,567.63 is: 417,562.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,031.63 : 746,658.20 = 302,567.63 : x
  2. Step 2: Convert to fraction form
    541,031.63/746,658.20 = 302,567.63/x
  3. Step 3: Cross multiply
    541,031.63x = 746,658.20 × 302,567.63
  4. Step 4: Simplify right side
    541,031.63x = 225,914,599,017.19
  5. Step 5: Solve for x
    x = 225,914,599,017.19/541,031.63
  6. Step 6: Final answer
    x = 417,562.65

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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.