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Finding the Fourth Proportional to 407,298.48, 610,403.60 and 214,780.29

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Solution

The fourth proportional to 407,298.48, 610,403.60 and 214,780.29 is: 321,883.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,298.48 : 610,403.60 = 214,780.29 : x
  2. Step 2: Convert to fraction form
    407,298.48/610,403.60 = 214,780.29/x
  3. Step 3: Cross multiply
    407,298.48x = 610,403.60 × 214,780.29
  4. Step 4: Simplify right side
    407,298.48x = 131,102,661,151.14
  5. Step 5: Solve for x
    x = 131,102,661,151.14/407,298.48
  6. Step 6: Final answer
    x = 321,883.50

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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.