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Finding the Fourth Proportional to 273,205.20, 409,807.80 and 189,224.40

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Solution

The fourth proportional to 273,205.20, 409,807.80 and 189,224.40 is: 283,836.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,205.20 : 409,807.80 = 189,224.40 : x
  2. Step 2: Convert to fraction form
    273,205.20/409,807.80 = 189,224.40/x
  3. Step 3: Cross multiply
    273,205.20x = 409,807.80 × 189,224.40
  4. Step 4: Simplify right side
    273,205.20x = 77,545,635,070.32
  5. Step 5: Solve for x
    x = 77,545,635,070.32/273,205.20
  6. Step 6: Final answer
    x = 283,836.60

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1.5x scale

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.