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Finding the Fourth Proportional to 400,970.13, 601,510.49 and 134,751.29

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Solution

The fourth proportional to 400,970.13, 601,510.49 and 134,751.29 is: 202,145.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,970.13 : 601,510.49 = 134,751.29 : x
  2. Step 2: Convert to fraction form
    400,970.13/601,510.49 = 134,751.29/x
  3. Step 3: Cross multiply
    400,970.13x = 601,510.49 × 134,751.29
  4. Step 4: Simplify right side
    400,970.13x = 81,054,310,794.72
  5. Step 5: Solve for x
    x = 81,054,310,794.72/400,970.13
  6. Step 6: Final answer
    x = 202,145.51

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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.