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Finding the Fourth Proportional to 525,574.26, 725,293.17 and 299,219.76

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Solution

The fourth proportional to 525,574.26, 725,293.17 and 299,219.76 is: 412,923.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,574.26 : 725,293.17 = 299,219.76 : x
  2. Step 2: Convert to fraction form
    525,574.26/725,293.17 = 299,219.76/x
  3. Step 3: Cross multiply
    525,574.26x = 725,293.17 × 299,219.76
  4. Step 4: Simplify right side
    525,574.26x = 217,022,048,257.04
  5. Step 5: Solve for x
    x = 217,022,048,257.04/525,574.26
  6. Step 6: Final answer
    x = 412,923.66

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1.5x scale

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.