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Finding the Fourth Proportional to 401,009.46, 601,608.50 and 116,706.14

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Solution

The fourth proportional to 401,009.46, 601,608.50 and 116,706.14 is: 175,086.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,009.46 : 601,608.50 = 116,706.14 : x
  2. Step 2: Convert to fraction form
    401,009.46/601,608.50 = 116,706.14/x
  3. Step 3: Cross multiply
    401,009.46x = 601,608.50 × 116,706.14
  4. Step 4: Simplify right side
    401,009.46x = 70,211,405,826.19
  5. Step 5: Solve for x
    x = 70,211,405,826.19/401,009.46
  6. Step 6: Final answer
    x = 175,086.66

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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.