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Finding the Fourth Proportional to 537,120.32, 741,237.88 and 295,415.12

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Solution

The fourth proportional to 537,120.32, 741,237.88 and 295,415.12 is: 407,679.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,120.32 : 741,237.88 = 295,415.12 : x
  2. Step 2: Convert to fraction form
    537,120.32/741,237.88 = 295,415.12/x
  3. Step 3: Cross multiply
    537,120.32x = 741,237.88 × 295,415.12
  4. Step 4: Simplify right side
    537,120.32x = 218,972,877,268.75
  5. Step 5: Solve for x
    x = 218,972,877,268.75/537,120.32
  6. Step 6: Final answer
    x = 407,679.38

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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.