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Finding the Fourth Proportional to 537,600.82, 806,899.36 and 271,547.80

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Solution

The fourth proportional to 537,600.82, 806,899.36 and 271,547.80 is: 407,573.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,600.82 : 806,899.36 = 271,547.80 : x
  2. Step 2: Convert to fraction form
    537,600.82/806,899.36 = 271,547.80/x
  3. Step 3: Cross multiply
    537,600.82x = 806,899.36 × 271,547.80
  4. Step 4: Simplify right side
    537,600.82x = 219,111,746,029.41
  5. Step 5: Solve for x
    x = 219,111,746,029.41/537,600.82
  6. Step 6: Final answer
    x = 407,573.31

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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.