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Finding the Fourth Proportional to 537,664.84, 741,971.64 and 295,942.24

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Solution

The fourth proportional to 537,664.84, 741,971.64 and 295,942.24 is: 408,397.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,664.84 : 741,971.64 = 295,942.24 : x
  2. Step 2: Convert to fraction form
    537,664.84/741,971.64 = 295,942.24/x
  3. Step 3: Cross multiply
    537,664.84x = 741,971.64 × 295,942.24
  4. Step 4: Simplify right side
    537,664.84x = 219,580,749,158.07
  5. Step 5: Solve for x
    x = 219,580,749,158.07/537,664.84
  6. Step 6: Final answer
    x = 408,397.08

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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.