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Finding the Fourth Proportional to 508,505.44, 762,461.52 and 153,412.96

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Solution

The fourth proportional to 508,505.44, 762,461.52 and 153,412.96 is: 230,029.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,505.44 : 762,461.52 = 153,412.96 : x
  2. Step 2: Convert to fraction form
    508,505.44/762,461.52 = 153,412.96/x
  3. Step 3: Cross multiply
    508,505.44x = 762,461.52 × 153,412.96
  4. Step 4: Simplify right side
    508,505.44x = 116,971,478,669.30
  5. Step 5: Solve for x
    x = 116,971,478,669.30/508,505.44
  6. Step 6: Final answer
    x = 230,029.95

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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.