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Finding the Fourth Proportional to 564,615.36, 847,054.80 and 165,262.68

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Solution

The fourth proportional to 564,615.36, 847,054.80 and 165,262.68 is: 247,932.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,615.36 : 847,054.80 = 165,262.68 : x
  2. Step 2: Convert to fraction form
    564,615.36/847,054.80 = 165,262.68/x
  3. Step 3: Cross multiply
    564,615.36x = 847,054.80 × 165,262.68
  4. Step 4: Simplify right side
    564,615.36x = 139,986,546,354.86
  5. Step 5: Solve for x
    x = 139,986,546,354.86/564,615.36
  6. Step 6: Final answer
    x = 247,932.59

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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.