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Finding the Fourth Proportional to 494,798.50, 742,211.59 and 174,905.15

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Solution

The fourth proportional to 494,798.50, 742,211.59 and 174,905.15 is: 262,362.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,798.50 : 742,211.59 = 174,905.15 : x
  2. Step 2: Convert to fraction form
    494,798.50/742,211.59 = 174,905.15/x
  3. Step 3: Cross multiply
    494,798.50x = 742,211.59 × 174,905.15
  4. Step 4: Simplify right side
    494,798.50x = 129,816,632,075.66
  5. Step 5: Solve for x
    x = 129,816,632,075.66/494,798.50
  6. Step 6: Final answer
    x = 262,362.62

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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.