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Finding the Fourth Proportional to 315,459.24, 472,795.04 and 157,732.80

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Solution

The fourth proportional to 315,459.24, 472,795.04 and 157,732.80 is: 236,402.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,459.24 : 472,795.04 = 157,732.80 : x
  2. Step 2: Convert to fraction form
    315,459.24/472,795.04 = 157,732.80/x
  3. Step 3: Cross multiply
    315,459.24x = 472,795.04 × 157,732.80
  4. Step 4: Simplify right side
    315,459.24x = 74,575,285,485.31
  5. Step 5: Solve for x
    x = 74,575,285,485.31/315,459.24
  6. Step 6: Final answer
    x = 236,402.29

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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.