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Finding the Fourth Proportional to 524,106, 785,524.74 and 372,063.90

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Solution

The fourth proportional to 524,106, 785,524.74 and 372,063.90 is: 557,645.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,106 : 785,524.74 = 372,063.90 : x
  2. Step 2: Convert to fraction form
    524,106/785,524.74 = 372,063.90/x
  3. Step 3: Cross multiply
    524,106x = 785,524.74 × 372,063.90
  4. Step 4: Simplify right side
    524,106x = 292,265,398,310.89
  5. Step 5: Solve for x
    x = 292,265,398,310.89/524,106
  6. Step 6: Final answer
    x = 557,645.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.