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Finding the Fourth Proportional to 563,208.96, 844,816.80 and 142,484.64

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Solution

The fourth proportional to 563,208.96, 844,816.80 and 142,484.64 is: 213,727.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,208.96 : 844,816.80 = 142,484.64 : x
  2. Step 2: Convert to fraction form
    563,208.96/844,816.80 = 142,484.64/x
  3. Step 3: Cross multiply
    563,208.96x = 844,816.80 × 142,484.64
  4. Step 4: Simplify right side
    563,208.96x = 120,373,417,613.95
  5. Step 5: Solve for x
    x = 120,373,417,613.95/563,208.96
  6. Step 6: Final answer
    x = 213,727.81

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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.