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Finding the Fourth Proportional to 405,382.08, 559,482.88 and 233,296.56

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Solution

The fourth proportional to 405,382.08, 559,482.88 and 233,296.56 is: 321,981.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,382.08 : 559,482.88 = 233,296.56 : x
  2. Step 2: Convert to fraction form
    405,382.08/559,482.88 = 233,296.56/x
  3. Step 3: Cross multiply
    405,382.08x = 559,482.88 × 233,296.56
  4. Step 4: Simplify right side
    405,382.08x = 130,525,431,282.89
  5. Step 5: Solve for x
    x = 130,525,431,282.89/405,382.08
  6. Step 6: Final answer
    x = 321,981.26

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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.