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Finding the Fourth Proportional to 464,586.84, 697,076.28 and 253,978.74

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Solution

The fourth proportional to 464,586.84, 697,076.28 and 253,978.74 is: 381,075.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,586.84 : 697,076.28 = 253,978.74 : x
  2. Step 2: Convert to fraction form
    464,586.84/697,076.28 = 253,978.74/x
  3. Step 3: Cross multiply
    464,586.84x = 697,076.28 × 253,978.74
  4. Step 4: Simplify right side
    464,586.84x = 177,042,555,278.29
  5. Step 5: Solve for x
    x = 177,042,555,278.29/464,586.84
  6. Step 6: Final answer
    x = 381,075.27

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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.