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Finding the Fourth Proportional to 295,355.16, 407,468.76 and 219,061.97

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Solution

The fourth proportional to 295,355.16, 407,468.76 and 219,061.97 is: 302,215.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,355.16 : 407,468.76 = 219,061.97 : x
  2. Step 2: Convert to fraction form
    295,355.16/407,468.76 = 219,061.97/x
  3. Step 3: Cross multiply
    295,355.16x = 407,468.76 × 219,061.97
  4. Step 4: Simplify right side
    295,355.16x = 89,260,907,241.71
  5. Step 5: Solve for x
    x = 89,260,907,241.71/295,355.16
  6. Step 6: Final answer
    x = 302,215.50

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Why These Related Problems?

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