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Finding the Fourth Proportional to 405,524.13, 559,617.45 and 224,232.08

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Solution

The fourth proportional to 405,524.13, 559,617.45 and 224,232.08 is: 309,437.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,524.13 : 559,617.45 = 224,232.08 : x
  2. Step 2: Convert to fraction form
    405,524.13/559,617.45 = 224,232.08/x
  3. Step 3: Cross multiply
    405,524.13x = 559,617.45 × 224,232.08
  4. Step 4: Simplify right side
    405,524.13x = 125,484,182,019.71
  5. Step 5: Solve for x
    x = 125,484,182,019.71/405,524.13
  6. Step 6: Final answer
    x = 309,437.03

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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.