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Finding the Fourth Proportional to 456,031.50, 684,137.97 and 140,474.94

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Solution

The fourth proportional to 456,031.50, 684,137.97 and 140,474.94 is: 210,740.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,031.50 : 684,137.97 = 140,474.94 : x
  2. Step 2: Convert to fraction form
    456,031.50/684,137.97 = 140,474.94/x
  3. Step 3: Cross multiply
    456,031.50x = 684,137.97 × 140,474.94
  4. Step 4: Simplify right side
    456,031.50x = 96,104,240,287.47
  5. Step 5: Solve for x
    x = 96,104,240,287.47/456,031.50
  6. Step 6: Final answer
    x = 210,740.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.