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Finding the Fourth Proportional to 407,253.32, 610,738.14 and 167,298.92

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Solution

The fourth proportional to 407,253.32, 610,738.14 and 167,298.92 is: 250,890.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,253.32 : 610,738.14 = 167,298.92 : x
  2. Step 2: Convert to fraction form
    407,253.32/610,738.14 = 167,298.92/x
  3. Step 3: Cross multiply
    407,253.32x = 610,738.14 × 167,298.92
  4. Step 4: Simplify right side
    407,253.32x = 102,175,831,224.81
  5. Step 5: Solve for x
    x = 102,175,831,224.81/407,253.32
  6. Step 6: Final answer
    x = 250,890.11

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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.