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Finding the Fourth Proportional to 508,338.36, 762,513.02 and 153,355.46

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Solution

The fourth proportional to 508,338.36, 762,513.02 and 153,355.46 is: 230,034.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,338.36 : 762,513.02 = 153,355.46 : x
  2. Step 2: Convert to fraction form
    508,338.36/762,513.02 = 153,355.46/x
  3. Step 3: Cross multiply
    508,338.36x = 762,513.02 × 153,355.46
  4. Step 4: Simplify right side
    508,338.36x = 116,935,534,938.09
  5. Step 5: Solve for x
    x = 116,935,534,938.09/508,338.36
  6. Step 6: Final answer
    x = 230,034.84

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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.