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Finding the Fourth Proportional to 508,021.48, 762,061.02 and 153,084.52

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Solution

The fourth proportional to 508,021.48, 762,061.02 and 153,084.52 is: 229,635.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,021.48 : 762,061.02 = 153,084.52 : x
  2. Step 2: Convert to fraction form
    508,021.48/762,061.02 = 153,084.52/x
  3. Step 3: Cross multiply
    508,021.48x = 762,061.02 × 153,084.52
  4. Step 4: Simplify right side
    508,021.48x = 116,659,745,457.41
  5. Step 5: Solve for x
    x = 116,659,745,457.41/508,021.48
  6. Step 6: Final answer
    x = 229,635.46

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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.