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Finding the Fourth Proportional to 346,447.28, 478,168.44 and 203,282.48

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Solution

The fourth proportional to 346,447.28, 478,168.44 and 203,282.48 is: 280,571.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    346,447.28 : 478,168.44 = 203,282.48 : x
  2. Step 2: Convert to fraction form
    346,447.28/478,168.44 = 203,282.48/x
  3. Step 3: Cross multiply
    346,447.28x = 478,168.44 × 203,282.48
  4. Step 4: Simplify right side
    346,447.28x = 97,203,266,340.93
  5. Step 5: Solve for x
    x = 97,203,266,340.93/346,447.28
  6. Step 6: Final answer
    x = 280,571.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.