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Finding the Fourth Proportional to 295,153.44, 407,309.76 and 167,829

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Solution

The fourth proportional to 295,153.44, 407,309.76 and 167,829 is: 231,602.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,153.44 : 407,309.76 = 167,829 : x
  2. Step 2: Convert to fraction form
    295,153.44/407,309.76 = 167,829/x
  3. Step 3: Cross multiply
    295,153.44x = 407,309.76 × 167,829
  4. Step 4: Simplify right side
    295,153.44x = 68,358,389,711.04
  5. Step 5: Solve for x
    x = 68,358,389,711.04/295,153.44
  6. Step 6: Final answer
    x = 231,602.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.