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Finding the Fourth Proportional to 537,142.32, 741,274.56 and 295,434

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Solution

The fourth proportional to 537,142.32, 741,274.56 and 295,434 is: 407,708.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,142.32 : 741,274.56 = 295,434 : x
  2. Step 2: Convert to fraction form
    537,142.32/741,274.56 = 295,434/x
  3. Step 3: Cross multiply
    537,142.32x = 741,274.56 × 295,434
  4. Step 4: Simplify right side
    537,142.32x = 218,997,708,359.04
  5. Step 5: Solve for x
    x = 218,997,708,359.04/537,142.32
  6. Step 6: Final answer
    x = 407,708.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.