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Finding the Fourth Proportional to 397,692.16, 596,567.36 and 113,377.28

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Solution

The fourth proportional to 397,692.16, 596,567.36 and 113,377.28 is: 170,074.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,692.16 : 596,567.36 = 113,377.28 : x
  2. Step 2: Convert to fraction form
    397,692.16/596,567.36 = 113,377.28/x
  3. Step 3: Cross multiply
    397,692.16x = 596,567.36 × 113,377.28
  4. Step 4: Simplify right side
    397,692.16x = 67,637,184,613.58
  5. Step 5: Solve for x
    x = 67,637,184,613.58/397,692.16
  6. Step 6: Final answer
    x = 170,074.22

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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.