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Finding the Fourth Proportional to 315,644.72, 473,567.95 and 113,104.08

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Solution

The fourth proportional to 315,644.72, 473,567.95 and 113,104.08 is: 169,692.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,644.72 : 473,567.95 = 113,104.08 : x
  2. Step 2: Convert to fraction form
    315,644.72/473,567.95 = 113,104.08/x
  3. Step 3: Cross multiply
    315,644.72x = 473,567.95 × 113,104.08
  4. Step 4: Simplify right side
    315,644.72x = 53,562,467,443.62
  5. Step 5: Solve for x
    x = 53,562,467,443.62/315,644.72
  6. Step 6: Final answer
    x = 169,692.27

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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.