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Finding the Fourth Proportional to 456,189.84, 629,245.38 and 292,587.20

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Solution

The fourth proportional to 456,189.84, 629,245.38 and 292,587.20 is: 403,580.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,189.84 : 629,245.38 = 292,587.20 : x
  2. Step 2: Convert to fraction form
    456,189.84/629,245.38 = 292,587.20/x
  3. Step 3: Cross multiply
    456,189.84x = 629,245.38 × 292,587.20
  4. Step 4: Simplify right side
    456,189.84x = 184,109,143,847.14
  5. Step 5: Solve for x
    x = 184,109,143,847.14/456,189.84
  6. Step 6: Final answer
    x = 403,580.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.