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Finding the Fourth Proportional to 385,797.20, 532,539.89 and 314,052.67

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Solution

The fourth proportional to 385,797.20, 532,539.89 and 314,052.67 is: 433,506.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,797.20 : 532,539.89 = 314,052.67 : x
  2. Step 2: Convert to fraction form
    385,797.20/532,539.89 = 314,052.67/x
  3. Step 3: Cross multiply
    385,797.20x = 532,539.89 × 314,052.67
  4. Step 4: Simplify right side
    385,797.20x = 167,245,572,612.09
  5. Step 5: Solve for x
    x = 167,245,572,612.09/385,797.20
  6. Step 6: Final answer
    x = 433,506.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.