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Finding the Fourth Proportional to 375,598.52, 518,330.04 and 205,829

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Solution

The fourth proportional to 375,598.52, 518,330.04 and 205,829 is: 284,046.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,598.52 : 518,330.04 = 205,829 : x
  2. Step 2: Convert to fraction form
    375,598.52/518,330.04 = 205,829/x
  3. Step 3: Cross multiply
    375,598.52x = 518,330.04 × 205,829
  4. Step 4: Simplify right side
    375,598.52x = 106,687,353,803.16
  5. Step 5: Solve for x
    x = 106,687,353,803.16/375,598.52
  6. Step 6: Final answer
    x = 284,046.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.