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Finding the Fourth Proportional to 364,376, 502,838.88 and 205,400

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Solution

The fourth proportional to 364,376, 502,838.88 and 205,400 is: 283,452

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,376 : 502,838.88 = 205,400 : x
  2. Step 2: Convert to fraction form
    364,376/502,838.88 = 205,400/x
  3. Step 3: Cross multiply
    364,376x = 502,838.88 × 205,400
  4. Step 4: Simplify right side
    364,376x = 103,283,105,952
  5. Step 5: Solve for x
    x = 103,283,105,952/364,376
  6. Step 6: Final answer
    x = 283,452

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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.