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Finding the Fourth Proportional to 525,407.75, 725,063.51 and 299,053.25

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Solution

The fourth proportional to 525,407.75, 725,063.51 and 299,053.25 is: 412,693.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,407.75 : 725,063.51 = 299,053.25 : x
  2. Step 2: Convert to fraction form
    525,407.75/725,063.51 = 299,053.25/x
  3. Step 3: Cross multiply
    525,407.75x = 725,063.51 × 299,053.25
  4. Step 4: Simplify right side
    525,407.75x = 216,832,597,626.64
  5. Step 5: Solve for x
    x = 216,832,597,626.64/525,407.75
  6. Step 6: Final answer
    x = 412,693.95

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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.