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Finding the Fourth Proportional to 405,232.66, 607,305.66 and 315,383.87

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Solution

The fourth proportional to 405,232.66, 607,305.66 and 315,383.87 is: 472,652.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,232.66 : 607,305.66 = 315,383.87 : x
  2. Step 2: Convert to fraction form
    405,232.66/607,305.66 = 315,383.87/x
  3. Step 3: Cross multiply
    405,232.66x = 607,305.66 × 315,383.87
  4. Step 4: Simplify right side
    405,232.66x = 191,534,409,323.70
  5. Step 5: Solve for x
    x = 191,534,409,323.70/405,232.66
  6. Step 6: Final answer
    x = 472,652.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.