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Finding the Fourth Proportional to 532,648.51, 798,975.78 and 177,661.56

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Solution

The fourth proportional to 532,648.51, 798,975.78 and 177,661.56 is: 266,493.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    532,648.51 : 798,975.78 = 177,661.56 : x
  2. Step 2: Convert to fraction form
    532,648.51/798,975.78 = 177,661.56/x
  3. Step 3: Cross multiply
    532,648.51x = 798,975.78 × 177,661.56
  4. Step 4: Simplify right side
    532,648.51x = 141,947,283,477.02
  5. Step 5: Solve for x
    x = 141,947,283,477.02/532,648.51
  6. Step 6: Final answer
    x = 266,493.35

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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.