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Finding the Fourth Proportional to 412,865.04, 618,300.12 and 234,832.32

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Solution

The fourth proportional to 412,865.04, 618,300.12 and 234,832.32 is: 351,681.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,865.04 : 618,300.12 = 234,832.32 : x
  2. Step 2: Convert to fraction form
    412,865.04/618,300.12 = 234,832.32/x
  3. Step 3: Cross multiply
    412,865.04x = 618,300.12 × 234,832.32
  4. Step 4: Simplify right side
    412,865.04x = 145,196,851,635.88
  5. Step 5: Solve for x
    x = 145,196,851,635.88/412,865.04
  6. Step 6: Final answer
    x = 351,681.15

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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.