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Finding the Fourth Proportional to 400,806.42, 601,195.04 and 120,316.38

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Solution

The fourth proportional to 400,806.42, 601,195.04 and 120,316.38 is: 180,470.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,806.42 : 601,195.04 = 120,316.38 : x
  2. Step 2: Convert to fraction form
    400,806.42/601,195.04 = 120,316.38/x
  3. Step 3: Cross multiply
    400,806.42x = 601,195.04 × 120,316.38
  4. Step 4: Simplify right side
    400,806.42x = 72,333,610,886.76
  5. Step 5: Solve for x
    x = 72,333,610,886.76/400,806.42
  6. Step 6: Final answer
    x = 180,470.19

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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.