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Finding the Fourth Proportional to 414,536.13, 621,801.90 and 358,204.95

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Solution

The fourth proportional to 414,536.13, 621,801.90 and 358,204.95 is: 537,305.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,536.13 : 621,801.90 = 358,204.95 : x
  2. Step 2: Convert to fraction form
    414,536.13/621,801.90 = 358,204.95/x
  3. Step 3: Cross multiply
    414,536.13x = 621,801.90 × 358,204.95
  4. Step 4: Simplify right side
    414,536.13x = 222,732,518,499.41
  5. Step 5: Solve for x
    x = 222,732,518,499.41/414,536.13
  6. Step 6: Final answer
    x = 537,305.44

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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.