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Finding the Fourth Proportional to 508,327.22, 762,496.31 and 153,344.32

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Solution

The fourth proportional to 508,327.22, 762,496.31 and 153,344.32 is: 230,018.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,327.22 : 762,496.31 = 153,344.32 : x
  2. Step 2: Convert to fraction form
    508,327.22/762,496.31 = 153,344.32/x
  3. Step 3: Cross multiply
    508,327.22x = 762,496.31 × 153,344.32
  4. Step 4: Simplify right side
    508,327.22x = 116,924,476,636.58
  5. Step 5: Solve for x
    x = 116,924,476,636.58/508,327.22
  6. Step 6: Final answer
    x = 230,018.13

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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.