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Finding the Fourth Proportional to 564,509.60, 847,042.32 and 265,012.64

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Solution

The fourth proportional to 564,509.60, 847,042.32 and 265,012.64 is: 397,649.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,509.60 : 847,042.32 = 265,012.64 : x
  2. Step 2: Convert to fraction form
    564,509.60/847,042.32 = 265,012.64/x
  3. Step 3: Cross multiply
    564,509.60x = 847,042.32 × 265,012.64
  4. Step 4: Simplify right side
    564,509.60x = 224,476,921,414.93
  5. Step 5: Solve for x
    x = 224,476,921,414.93/564,509.60
  6. Step 6: Final answer
    x = 397,649.43

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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.