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Finding the Fourth Proportional to 537,857.78, 806,529.33 and 313,282.28

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Solution

The fourth proportional to 537,857.78, 806,529.33 and 313,282.28 is: 469,773.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,857.78 : 806,529.33 = 313,282.28 : x
  2. Step 2: Convert to fraction form
    537,857.78/806,529.33 = 313,282.28/x
  3. Step 3: Cross multiply
    537,857.78x = 806,529.33 × 313,282.28
  4. Step 4: Simplify right side
    537,857.78x = 252,671,343,356.63
  5. Step 5: Solve for x
    x = 252,671,343,356.63/537,857.78
  6. Step 6: Final answer
    x = 469,773.53

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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.