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Finding the Fourth Proportional to 412,549.04, 618,824.04 and 113,032.16

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Solution

The fourth proportional to 412,549.04, 618,824.04 and 113,032.16 is: 169,548.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,549.04 : 618,824.04 = 113,032.16 : x
  2. Step 2: Convert to fraction form
    412,549.04/618,824.04 = 113,032.16/x
  3. Step 3: Cross multiply
    412,549.04x = 618,824.04 × 113,032.16
  4. Step 4: Simplify right side
    412,549.04x = 69,947,017,901.13
  5. Step 5: Solve for x
    x = 69,947,017,901.13/412,549.04
  6. Step 6: Final answer
    x = 169,548.37

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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.