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Finding the Fourth Proportional to 564,816.96, 847,045.98 and 185,650.20

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Solution

The fourth proportional to 564,816.96, 847,045.98 and 185,650.20 is: 278,416.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,816.96 : 847,045.98 = 185,650.20 : x
  2. Step 2: Convert to fraction form
    564,816.96/847,045.98 = 185,650.20/x
  3. Step 3: Cross multiply
    564,816.96x = 847,045.98 × 185,650.20
  4. Step 4: Simplify right side
    564,816.96x = 157,254,255,596.20
  5. Step 5: Solve for x
    x = 157,254,255,596.20/564,816.96
  6. Step 6: Final answer
    x = 278,416.31

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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.