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Finding the Fourth Proportional to 525,837.68, 725,804.65 and 311,052.41

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Solution

The fourth proportional to 525,837.68, 725,804.65 and 311,052.41 is: 429,340.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,837.68 : 725,804.65 = 311,052.41 : x
  2. Step 2: Convert to fraction form
    525,837.68/725,804.65 = 311,052.41/x
  3. Step 3: Cross multiply
    525,837.68x = 725,804.65 × 311,052.41
  4. Step 4: Simplify right side
    525,837.68x = 225,763,285,571.71
  5. Step 5: Solve for x
    x = 225,763,285,571.71/525,837.68
  6. Step 6: Final answer
    x = 429,340.26

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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.