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Finding the Fourth Proportional to 405,409.06, 559,513.17 and 235,643.20

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Solution

The fourth proportional to 405,409.06, 559,513.17 and 235,643.20 is: 325,215.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,409.06 : 559,513.17 = 235,643.20 : x
  2. Step 2: Convert to fraction form
    405,409.06/559,513.17 = 235,643.20/x
  3. Step 3: Cross multiply
    405,409.06x = 559,513.17 × 235,643.20
  4. Step 4: Simplify right side
    405,409.06x = 131,845,473,820.94
  5. Step 5: Solve for x
    x = 131,845,473,820.94/405,409.06
  6. Step 6: Final answer
    x = 325,215.90

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