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Finding the Fourth Proportional to 364,065.40, 546,098.10 and 206,601.40

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Solution

The fourth proportional to 364,065.40, 546,098.10 and 206,601.40 is: 309,902.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,065.40 : 546,098.10 = 206,601.40 : x
  2. Step 2: Convert to fraction form
    364,065.40/546,098.10 = 206,601.40/x
  3. Step 3: Cross multiply
    364,065.40x = 546,098.10 × 206,601.40
  4. Step 4: Simplify right side
    364,065.40x = 112,824,631,997.34
  5. Step 5: Solve for x
    x = 112,824,631,997.34/364,065.40
  6. Step 6: Final answer
    x = 309,902.10

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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.