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Finding the Fourth Proportional to 405,361.04, 559,389.30 and 224,066

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Solution

The fourth proportional to 405,361.04, 559,389.30 and 224,066 is: 309,206.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,361.04 : 559,389.30 = 224,066 : x
  2. Step 2: Convert to fraction form
    405,361.04/559,389.30 = 224,066/x
  3. Step 3: Cross multiply
    405,361.04x = 559,389.30 × 224,066
  4. Step 4: Simplify right side
    405,361.04x = 125,340,122,893.80
  5. Step 5: Solve for x
    x = 125,340,122,893.80/405,361.04
  6. Step 6: Final answer
    x = 309,206.14

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Why These Related Problems?

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