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Finding the Fourth Proportional to 476,542.80, 714,619.80 and 160,837.20

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Solution

The fourth proportional to 476,542.80, 714,619.80 and 160,837.20 is: 241,190.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,542.80 : 714,619.80 = 160,837.20 : x
  2. Step 2: Convert to fraction form
    476,542.80/714,619.80 = 160,837.20/x
  3. Step 3: Cross multiply
    476,542.80x = 714,619.80 × 160,837.20
  4. Step 4: Simplify right side
    476,542.80x = 114,937,447,696.56
  5. Step 5: Solve for x
    x = 114,937,447,696.56/476,542.80
  6. Step 6: Final answer
    x = 241,190.19

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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.