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Finding the Fourth Proportional to 295,246.58, 407,472.98 and 166,189.01

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Solution

The fourth proportional to 295,246.58, 407,472.98 and 166,189.01 is: 229,359.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,246.58 : 407,472.98 = 166,189.01 : x
  2. Step 2: Convert to fraction form
    295,246.58/407,472.98 = 166,189.01/x
  3. Step 3: Cross multiply
    295,246.58x = 407,472.98 × 166,189.01
  4. Step 4: Simplify right side
    295,246.58x = 67,717,528,279.64
  5. Step 5: Solve for x
    x = 67,717,528,279.64/295,246.58
  6. Step 6: Final answer
    x = 229,359.23

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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.