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Finding the Fourth Proportional to 564,816.46, 847,045.23 and 185,649.70

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Solution

The fourth proportional to 564,816.46, 847,045.23 and 185,649.70 is: 278,415.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,816.46 : 847,045.23 = 185,649.70 : x
  2. Step 2: Convert to fraction form
    564,816.46/847,045.23 = 185,649.70/x
  3. Step 3: Cross multiply
    564,816.46x = 847,045.23 × 185,649.70
  4. Step 4: Simplify right side
    564,816.46x = 157,253,692,835.93
  5. Step 5: Solve for x
    x = 157,253,692,835.93/564,816.46
  6. Step 6: Final answer
    x = 278,415.56

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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.