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Finding the Fourth Proportional to 525,409.50, 725,065.92 and 299,055

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Solution

The fourth proportional to 525,409.50, 725,065.92 and 299,055 is: 412,696.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,409.50 : 725,065.92 = 299,055 : x
  2. Step 2: Convert to fraction form
    525,409.50/725,065.92 = 299,055/x
  3. Step 3: Cross multiply
    525,409.50x = 725,065.92 × 299,055
  4. Step 4: Simplify right side
    525,409.50x = 216,834,588,705.60
  5. Step 5: Solve for x
    x = 216,834,588,705.60/525,409.50
  6. Step 6: Final answer
    x = 412,696.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.