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Finding the Fourth Proportional to 525,450, 725,121.84 and 299,095.52

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Solution

The fourth proportional to 525,450, 725,121.84 and 299,095.52 is: 412,752.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,450 : 725,121.84 = 299,095.52 : x
  2. Step 2: Convert to fraction form
    525,450/725,121.84 = 299,095.52/x
  3. Step 3: Cross multiply
    525,450x = 725,121.84 × 299,095.52
  4. Step 4: Simplify right side
    525,450x = 216,880,693,798.16
  5. Step 5: Solve for x
    x = 216,880,693,798.16/525,450
  6. Step 6: Final answer
    x = 412,752.30

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