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Finding the Fourth Proportional to 405,461.98, 559,527.67 and 224,169.24

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Solution

The fourth proportional to 405,461.98, 559,527.67 and 224,169.24 is: 309,348.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,461.98 : 559,527.67 = 224,169.24 : x
  2. Step 2: Convert to fraction form
    405,461.98/559,527.67 = 224,169.24/x
  3. Step 3: Cross multiply
    405,461.98x = 559,527.67 × 224,169.24
  4. Step 4: Simplify right side
    405,461.98x = 125,428,892,542.87
  5. Step 5: Solve for x
    x = 125,428,892,542.87/405,461.98
  6. Step 6: Final answer
    x = 309,348.10

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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.