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Finding the Fourth Proportional to 405,498.50, 559,565.35 and 224,199.54

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Solution

The fourth proportional to 405,498.50, 559,565.35 and 224,199.54 is: 309,382.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,498.50 : 559,565.35 = 224,199.54 : x
  2. Step 2: Convert to fraction form
    405,498.50/559,565.35 = 224,199.54/x
  3. Step 3: Cross multiply
    405,498.50x = 559,565.35 × 224,199.54
  4. Step 4: Simplify right side
    405,498.50x = 125,454,293,509.44
  5. Step 5: Solve for x
    x = 125,454,293,509.44/405,498.50
  6. Step 6: Final answer
    x = 309,382.88

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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.