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Finding the Fourth Proportional to 405,506.39, 559,576.22 and 224,207.42

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Solution

The fourth proportional to 405,506.39, 559,576.22 and 224,207.42 is: 309,393.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,506.39 : 559,576.22 = 224,207.42 : x
  2. Step 2: Convert to fraction form
    405,506.39/559,576.22 = 224,207.42/x
  3. Step 3: Cross multiply
    405,506.39x = 559,576.22 × 224,207.42
  4. Step 4: Simplify right side
    405,506.39x = 125,461,136,660.63
  5. Step 5: Solve for x
    x = 125,461,136,660.63/405,506.39
  6. Step 6: Final answer
    x = 309,393.74

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1.5x scale

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.