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Finding the Fourth Proportional to 563,770.33, 845,573.48 and 164,303.84

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Solution

The fourth proportional to 563,770.33, 845,573.48 and 164,303.84 is: 246,431.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,770.33 : 845,573.48 = 164,303.84 : x
  2. Step 2: Convert to fraction form
    563,770.33/845,573.48 = 164,303.84/x
  3. Step 3: Cross multiply
    563,770.33x = 845,573.48 × 164,303.84
  4. Step 4: Simplify right side
    563,770.33x = 138,930,971,674.72
  5. Step 5: Solve for x
    x = 138,930,971,674.72/563,770.33
  6. Step 6: Final answer
    x = 246,431.86

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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.