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Finding the Fourth Proportional to 405,443.59, 559,523.84 and 224,167.23

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Solution

The fourth proportional to 405,443.59, 559,523.84 and 224,167.23 is: 309,357.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,443.59 : 559,523.84 = 224,167.23 : x
  2. Step 2: Convert to fraction form
    405,443.59/559,523.84 = 224,167.23/x
  3. Step 3: Cross multiply
    405,443.59x = 559,523.84 × 224,167.23
  4. Step 4: Simplify right side
    405,443.59x = 125,426,909,331.76
  5. Step 5: Solve for x
    x = 125,426,909,331.76/405,443.59
  6. Step 6: Final answer
    x = 309,357.24

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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.