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Finding the Fourth Proportional to 405,499.73, 559,567.01 and 224,200.77

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Solution

The fourth proportional to 405,499.73, 559,567.01 and 224,200.77 is: 309,384.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,499.73 : 559,567.01 = 224,200.77 : x
  2. Step 2: Convert to fraction form
    405,499.73/559,567.01 = 224,200.77/x
  3. Step 3: Cross multiply
    405,499.73x = 559,567.01 × 224,200.77
  4. Step 4: Simplify right side
    405,499.73x = 125,455,350,589.76
  5. Step 5: Solve for x
    x = 125,455,350,589.76/405,499.73
  6. Step 6: Final answer
    x = 309,384.55

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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.