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Finding the Fourth Proportional to 295,359.16, 407,474.28 and 219,065.96

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Solution

The fourth proportional to 295,359.16, 407,474.28 and 219,065.96 is: 302,221.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,359.16 : 407,474.28 = 219,065.96 : x
  2. Step 2: Convert to fraction form
    295,359.16/407,474.28 = 219,065.96/x
  3. Step 3: Cross multiply
    295,359.16x = 407,474.28 × 219,065.96
  4. Step 4: Simplify right side
    295,359.16x = 89,263,744,323.51
  5. Step 5: Solve for x
    x = 89,263,744,323.51/295,359.16
  6. Step 6: Final answer
    x = 302,221.01

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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.