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Finding the Fourth Proportional to 417,399.28, 575,995.44 and 226,406.32

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Solution

The fourth proportional to 417,399.28, 575,995.44 and 226,406.32 is: 312,432.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,399.28 : 575,995.44 = 226,406.32 : x
  2. Step 2: Convert to fraction form
    417,399.28/575,995.44 = 226,406.32/x
  3. Step 3: Cross multiply
    417,399.28x = 575,995.44 × 226,406.32
  4. Step 4: Simplify right side
    417,399.28x = 130,409,007,907.18
  5. Step 5: Solve for x
    x = 130,409,007,907.18/417,399.28
  6. Step 6: Final answer
    x = 312,432.28

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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.