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Finding the Fourth Proportional to 537,872.64, 806,307.78 and 182,643.69

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Solution

The fourth proportional to 537,872.64, 806,307.78 and 182,643.69 is: 273,795.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,872.64 : 806,307.78 = 182,643.69 : x
  2. Step 2: Convert to fraction form
    537,872.64/806,307.78 = 182,643.69/x
  3. Step 3: Cross multiply
    537,872.64x = 806,307.78 × 182,643.69
  4. Step 4: Simplify right side
    537,872.64x = 147,267,028,214.91
  5. Step 5: Solve for x
    x = 147,267,028,214.91/537,872.64
  6. Step 6: Final answer
    x = 273,795.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.