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Finding the Fourth Proportional to 274,298.28, 378,566.64 and 153,446.28

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Solution

The fourth proportional to 274,298.28, 378,566.64 and 153,446.28 is: 211,775.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,298.28 : 378,566.64 = 153,446.28 : x
  2. Step 2: Convert to fraction form
    274,298.28/378,566.64 = 153,446.28/x
  3. Step 3: Cross multiply
    274,298.28x = 378,566.64 × 153,446.28
  4. Step 4: Simplify right side
    274,298.28x = 58,089,642,640.10
  5. Step 5: Solve for x
    x = 58,089,642,640.10/274,298.28
  6. Step 6: Final answer
    x = 211,775.45

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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.