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Finding the Fourth Proportional to 354,804.68, 532,019.75 and 154,891.01

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Solution

The fourth proportional to 354,804.68, 532,019.75 and 154,891.01 is: 232,254.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,804.68 : 532,019.75 = 154,891.01 : x
  2. Step 2: Convert to fraction form
    354,804.68/532,019.75 = 154,891.01/x
  3. Step 3: Cross multiply
    354,804.68x = 532,019.75 × 154,891.01
  4. Step 4: Simplify right side
    354,804.68x = 82,405,073,563.74
  5. Step 5: Solve for x
    x = 82,405,073,563.74/354,804.68
  6. Step 6: Final answer
    x = 232,254.76

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Why These Related Problems?

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