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Finding the Fourth Proportional to 537,788.16, 806,653.08 and 163,782

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Solution

The fourth proportional to 537,788.16, 806,653.08 and 163,782 is: 245,664.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,788.16 : 806,653.08 = 163,782 : x
  2. Step 2: Convert to fraction form
    537,788.16/806,653.08 = 163,782/x
  3. Step 3: Cross multiply
    537,788.16x = 806,653.08 × 163,782
  4. Step 4: Simplify right side
    537,788.16x = 132,115,254,748.56
  5. Step 5: Solve for x
    x = 132,115,254,748.56/537,788.16
  6. Step 6: Final answer
    x = 245,664.12

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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.