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Finding the Fourth Proportional to 464,593.84, 697,086.78 and 253,985.74

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Solution

The fourth proportional to 464,593.84, 697,086.78 and 253,985.74 is: 381,085.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,593.84 : 697,086.78 = 253,985.74 : x
  2. Step 2: Convert to fraction form
    464,593.84/697,086.78 = 253,985.74/x
  3. Step 3: Cross multiply
    464,593.84x = 697,086.78 × 253,985.74
  4. Step 4: Simplify right side
    464,593.84x = 177,050,101,662.52
  5. Step 5: Solve for x
    x = 177,050,101,662.52/464,593.84
  6. Step 6: Final answer
    x = 381,085.77

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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.