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Finding the Fourth Proportional to 384,175.80, 575,097.30 and 342,185.40

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Solution

The fourth proportional to 384,175.80, 575,097.30 and 342,185.40 is: 512,239.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,175.80 : 575,097.30 = 342,185.40 : x
  2. Step 2: Convert to fraction form
    384,175.80/575,097.30 = 342,185.40/x
  3. Step 3: Cross multiply
    384,175.80x = 575,097.30 × 342,185.40
  4. Step 4: Simplify right side
    384,175.80x = 196,789,899,639.42
  5. Step 5: Solve for x
    x = 196,789,899,639.42/384,175.80
  6. Step 6: Final answer
    x = 512,239.19

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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.