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Finding the Fourth Proportional to 416,430.81, 574,675.83 and 225,444.96

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Solution

The fourth proportional to 416,430.81, 574,675.83 and 225,444.96 is: 311,114.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,430.81 : 574,675.83 = 225,444.96 : x
  2. Step 2: Convert to fraction form
    416,430.81/574,675.83 = 225,444.96/x
  3. Step 3: Cross multiply
    416,430.81x = 574,675.83 × 225,444.96
  4. Step 4: Simplify right side
    416,430.81x = 129,557,769,507.32
  5. Step 5: Solve for x
    x = 129,557,769,507.32/416,430.81
  6. Step 6: Final answer
    x = 311,114.76

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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.