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Finding the Fourth Proportional to 563,793.64, 845,646.34 and 158,969.50

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Solution

The fourth proportional to 563,793.64, 845,646.34 and 158,969.50 is: 238,441.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,793.64 : 845,646.34 = 158,969.50 : x
  2. Step 2: Convert to fraction form
    563,793.64/845,646.34 = 158,969.50/x
  3. Step 3: Cross multiply
    563,793.64x = 845,646.34 × 158,969.50
  4. Step 4: Simplify right side
    563,793.64x = 134,431,975,846.63
  5. Step 5: Solve for x
    x = 134,431,975,846.63/563,793.64
  6. Step 6: Final answer
    x = 238,441.81

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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.