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Finding the Fourth Proportional to 564,734.30, 846,852.77 and 265,299.98

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Solution

The fourth proportional to 564,734.30, 846,852.77 and 265,299.98 is: 397,833.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,734.30 : 846,852.77 = 265,299.98 : x
  2. Step 2: Convert to fraction form
    564,734.30/846,852.77 = 265,299.98/x
  3. Step 3: Cross multiply
    564,734.30x = 846,852.77 × 265,299.98
  4. Step 4: Simplify right side
    564,734.30x = 224,670,019,372.93
  5. Step 5: Solve for x
    x = 224,670,019,372.93/564,734.30
  6. Step 6: Final answer
    x = 397,833.14

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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.