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Finding the Fourth Proportional to 308,765.24, 463,572.90 and 157,065.02

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Solution

The fourth proportional to 308,765.24, 463,572.90 and 157,065.02 is: 235,813.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,765.24 : 463,572.90 = 157,065.02 : x
  2. Step 2: Convert to fraction form
    308,765.24/463,572.90 = 157,065.02/x
  3. Step 3: Cross multiply
    308,765.24x = 463,572.90 × 157,065.02
  4. Step 4: Simplify right side
    308,765.24x = 72,811,086,809.96
  5. Step 5: Solve for x
    x = 72,811,086,809.96/308,765.24
  6. Step 6: Final answer
    x = 235,813.74

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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.