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Finding the Fourth Proportional to 364,027.60, 546,041.40 and 275,454.10

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Solution

The fourth proportional to 364,027.60, 546,041.40 and 275,454.10 is: 413,181.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,027.60 : 546,041.40 = 275,454.10 : x
  2. Step 2: Convert to fraction form
    364,027.60/546,041.40 = 275,454.10/x
  3. Step 3: Cross multiply
    364,027.60x = 546,041.40 × 275,454.10
  4. Step 4: Simplify right side
    364,027.60x = 150,409,342,399.74
  5. Step 5: Solve for x
    x = 150,409,342,399.74/364,027.60
  6. Step 6: Final answer
    x = 413,181.15

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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.