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Finding the Fourth Proportional to 405,247.44, 607,327.76 and 315,398.64

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Solution

The fourth proportional to 405,247.44, 607,327.76 and 315,398.64 is: 472,675.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,247.44 : 607,327.76 = 315,398.64 : x
  2. Step 2: Convert to fraction form
    405,247.44/607,327.76 = 315,398.64/x
  3. Step 3: Cross multiply
    405,247.44x = 607,327.76 × 315,398.64
  4. Step 4: Simplify right side
    405,247.44x = 191,550,349,538.25
  5. Step 5: Solve for x
    x = 191,550,349,538.25/405,247.44
  6. Step 6: Final answer
    x = 472,675.04

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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.