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Finding the Fourth Proportional to 385,797.58, 532,540.42 and 314,053.04

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Solution

The fourth proportional to 385,797.58, 532,540.42 and 314,053.04 is: 433,506.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,797.58 : 532,540.42 = 314,053.04 : x
  2. Step 2: Convert to fraction form
    385,797.58/532,540.42 = 314,053.04/x
  3. Step 3: Cross multiply
    385,797.58x = 532,540.42 × 314,053.04
  4. Step 4: Simplify right side
    385,797.58x = 167,245,938,370.10
  5. Step 5: Solve for x
    x = 167,245,938,370.10/385,797.58
  6. Step 6: Final answer
    x = 433,506.97

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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.