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Finding the Fourth Proportional to 525,838.68, 725,806.03 and 311,053.41

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Solution

The fourth proportional to 525,838.68, 725,806.03 and 311,053.41 is: 429,341.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,838.68 : 725,806.03 = 311,053.41 : x
  2. Step 2: Convert to fraction form
    525,838.68/725,806.03 = 311,053.41/x
  3. Step 3: Cross multiply
    525,838.68x = 725,806.03 × 311,053.41
  4. Step 4: Simplify right side
    525,838.68x = 225,764,440,630.06
  5. Step 5: Solve for x
    x = 225,764,440,630.06/525,838.68
  6. Step 6: Final answer
    x = 429,341.64

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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.