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Finding the Fourth Proportional to 364,046.70, 546,070.05 and 206,582.70

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Solution

The fourth proportional to 364,046.70, 546,070.05 and 206,582.70 is: 309,874.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,046.70 : 546,070.05 = 206,582.70 : x
  2. Step 2: Convert to fraction form
    364,046.70/546,070.05 = 206,582.70/x
  3. Step 3: Cross multiply
    364,046.70x = 546,070.05 × 206,582.70
  4. Step 4: Simplify right side
    364,046.70x = 112,808,625,318.14
  5. Step 5: Solve for x
    x = 112,808,625,318.14/364,046.70
  6. Step 6: Final answer
    x = 309,874.05

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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.