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Finding the Fourth Proportional to 405,389.84, 559,434.26 and 224,106.44

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Solution

The fourth proportional to 405,389.84, 559,434.26 and 224,106.44 is: 309,264.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,389.84 : 559,434.26 = 224,106.44 : x
  2. Step 2: Convert to fraction form
    405,389.84/559,434.26 = 224,106.44/x
  3. Step 3: Cross multiply
    405,389.84x = 559,434.26 × 224,106.44
  4. Step 4: Simplify right side
    405,389.84x = 125,372,820,422.63
  5. Step 5: Solve for x
    x = 125,372,820,422.63/405,389.84
  6. Step 6: Final answer
    x = 309,264.83

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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.