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Finding the Fourth Proportional to 375,700.02, 518,460.39 and 205,934.46

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Solution

The fourth proportional to 375,700.02, 518,460.39 and 205,934.46 is: 284,186.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,700.02 : 518,460.39 = 205,934.46 : x
  2. Step 2: Convert to fraction form
    375,700.02/518,460.39 = 205,934.46/x
  3. Step 3: Cross multiply
    375,700.02x = 518,460.39 × 205,934.46
  4. Step 4: Simplify right side
    375,700.02x = 106,768,860,446.04
  5. Step 5: Solve for x
    x = 106,768,860,446.04/375,700.02
  6. Step 6: Final answer
    x = 284,186.46

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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.