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Finding the Fourth Proportional to 405,732.89, 559,901.27 and 224,454.89

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Solution

The fourth proportional to 405,732.89, 559,901.27 and 224,454.89 is: 309,742.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,732.89 : 559,901.27 = 224,454.89 : x
  2. Step 2: Convert to fraction form
    405,732.89/559,901.27 = 224,454.89/x
  3. Step 3: Cross multiply
    405,732.89x = 559,901.27 × 224,454.89
  4. Step 4: Simplify right side
    405,732.89x = 125,672,574,046.93
  5. Step 5: Solve for x
    x = 125,672,574,046.93/405,732.89
  6. Step 6: Final answer
    x = 309,742.14

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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.