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Finding the Fourth Proportional to 524,696.48, 787,182.19 and 164,852.80

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Solution

The fourth proportional to 524,696.48, 787,182.19 and 164,852.80 is: 247,322.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,696.48 : 787,182.19 = 164,852.80 : x
  2. Step 2: Convert to fraction form
    524,696.48/787,182.19 = 164,852.80/x
  3. Step 3: Cross multiply
    524,696.48x = 787,182.19 × 164,852.80
  4. Step 4: Simplify right side
    524,696.48x = 129,769,190,643.09
  5. Step 5: Solve for x
    x = 129,769,190,643.09/524,696.48
  6. Step 6: Final answer
    x = 247,322.39

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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.