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Finding the Fourth Proportional to 384,415.80, 576,622.34 and 103,933

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Solution

The fourth proportional to 384,415.80, 576,622.34 and 103,933 is: 155,899.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,415.80 : 576,622.34 = 103,933 : x
  2. Step 2: Convert to fraction form
    384,415.80/576,622.34 = 103,933/x
  3. Step 3: Cross multiply
    384,415.80x = 576,622.34 × 103,933
  4. Step 4: Simplify right side
    384,415.80x = 59,930,089,663.22
  5. Step 5: Solve for x
    x = 59,930,089,663.22/384,415.80
  6. Step 6: Final answer
    x = 155,899.13

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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.