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Finding the Fourth Proportional to 401,434.68, 602,229.78 and 152,291.64

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Solution

The fourth proportional to 401,434.68, 602,229.78 and 152,291.64 is: 228,466.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,434.68 : 602,229.78 = 152,291.64 : x
  2. Step 2: Convert to fraction form
    401,434.68/602,229.78 = 152,291.64/x
  3. Step 3: Cross multiply
    401,434.68x = 602,229.78 × 152,291.64
  4. Step 4: Simplify right side
    401,434.68x = 91,714,560,853.04
  5. Step 5: Solve for x
    x = 91,714,560,853.04/401,434.68
  6. Step 6: Final answer
    x = 228,466.96

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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.