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Finding the Fourth Proportional to 295,354.65, 407,468.07 and 219,061.46

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Solution

The fourth proportional to 295,354.65, 407,468.07 and 219,061.46 is: 302,214.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,354.65 : 407,468.07 = 219,061.46 : x
  2. Step 2: Convert to fraction form
    295,354.65/407,468.07 = 219,061.46/x
  3. Step 3: Cross multiply
    295,354.65x = 407,468.07 × 219,061.46
  4. Step 4: Simplify right side
    295,354.65x = 89,260,551,336.25
  5. Step 5: Solve for x
    x = 89,260,551,336.25/295,354.65
  6. Step 6: Final answer
    x = 302,214.81

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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.