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Finding the Fourth Proportional to 385,114.62, 577,808.82 and 171,863.16

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Solution

The fourth proportional to 385,114.62, 577,808.82 and 171,863.16 is: 257,855.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,114.62 : 577,808.82 = 171,863.16 : x
  2. Step 2: Convert to fraction form
    385,114.62/577,808.82 = 171,863.16/x
  3. Step 3: Cross multiply
    385,114.62x = 577,808.82 × 171,863.16
  4. Step 4: Simplify right side
    385,114.62x = 99,304,049,681.07
  5. Step 5: Solve for x
    x = 99,304,049,681.07/385,114.62
  6. Step 6: Final answer
    x = 257,855.83

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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.