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Finding the Fourth Proportional to 414,591.24, 572,129.20 and 233,303.06

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Solution

The fourth proportional to 414,591.24, 572,129.20 and 233,303.06 is: 321,954.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,591.24 : 572,129.20 = 233,303.06 : x
  2. Step 2: Convert to fraction form
    414,591.24/572,129.20 = 233,303.06/x
  3. Step 3: Cross multiply
    414,591.24x = 572,129.20 × 233,303.06
  4. Step 4: Simplify right side
    414,591.24x = 133,479,493,075.35
  5. Step 5: Solve for x
    x = 133,479,493,075.35/414,591.24
  6. Step 6: Final answer
    x = 321,954.45

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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.