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Finding the Fourth Proportional to 385,797.02, 532,539.63 and 314,052.48

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Solution

The fourth proportional to 385,797.02, 532,539.63 and 314,052.48 is: 433,506.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,797.02 : 532,539.63 = 314,052.48 : x
  2. Step 2: Convert to fraction form
    385,797.02/532,539.63 = 314,052.48/x
  3. Step 3: Cross multiply
    385,797.02x = 532,539.63 × 314,052.48
  4. Step 4: Simplify right side
    385,797.02x = 167,245,391,499.78
  5. Step 5: Solve for x
    x = 167,245,391,499.78/385,797.02
  6. Step 6: Final answer
    x = 433,506.18

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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.