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Finding the Fourth Proportional to 462,430.94, 693,226.07 and 177,940.01

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Solution

The fourth proportional to 462,430.94, 693,226.07 and 177,940.01 is: 266,748.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,430.94 : 693,226.07 = 177,940.01 : x
  2. Step 2: Convert to fraction form
    462,430.94/693,226.07 = 177,940.01/x
  3. Step 3: Cross multiply
    462,430.94x = 693,226.07 × 177,940.01
  4. Step 4: Simplify right side
    462,430.94x = 123,352,649,472.23
  5. Step 5: Solve for x
    x = 123,352,649,472.23/462,430.94
  6. Step 6: Final answer
    x = 266,748.26

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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.