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Finding the Fourth Proportional to 511,574.94, 767,432.43 and 174,525.08

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Solution

The fourth proportional to 511,574.94, 767,432.43 and 174,525.08 is: 261,811.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,574.94 : 767,432.43 = 174,525.08 : x
  2. Step 2: Convert to fraction form
    511,574.94/767,432.43 = 174,525.08/x
  3. Step 3: Cross multiply
    511,574.94x = 767,432.43 × 174,525.08
  4. Step 4: Simplify right side
    511,574.94x = 133,936,202,403.18
  5. Step 5: Solve for x
    x = 133,936,202,403.18/511,574.94
  6. Step 6: Final answer
    x = 261,811.50

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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.