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Finding the Fourth Proportional to 564,783.32, 847,341.07 and 227,650.44

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Solution

The fourth proportional to 564,783.32, 847,341.07 and 227,650.44 is: 341,542.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,783.32 : 847,341.07 = 227,650.44 : x
  2. Step 2: Convert to fraction form
    564,783.32/847,341.07 = 227,650.44/x
  3. Step 3: Cross multiply
    564,783.32x = 847,341.07 × 227,650.44
  4. Step 4: Simplify right side
    564,783.32x = 192,897,562,040.61
  5. Step 5: Solve for x
    x = 192,897,562,040.61/564,783.32
  6. Step 6: Final answer
    x = 341,542.60

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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.