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Finding the Fourth Proportional to 417,157.28, 575,688.38 and 235,896.32

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Solution

The fourth proportional to 417,157.28, 575,688.38 and 235,896.32 is: 325,543.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,157.28 : 575,688.38 = 235,896.32 : x
  2. Step 2: Convert to fraction form
    417,157.28/575,688.38 = 235,896.32/x
  3. Step 3: Cross multiply
    417,157.28x = 575,688.38 × 235,896.32
  4. Step 4: Simplify right side
    417,157.28x = 135,802,770,568.50
  5. Step 5: Solve for x
    x = 135,802,770,568.50/417,157.28
  6. Step 6: Final answer
    x = 325,543.34

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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.