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Finding the Fourth Proportional to 405,591.23, 559,712.63 and 224,310.80

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Solution

The fourth proportional to 405,591.23, 559,712.63 and 224,310.80 is: 309,547.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,591.23 : 559,712.63 = 224,310.80 : x
  2. Step 2: Convert to fraction form
    405,591.23/559,712.63 = 224,310.80/x
  3. Step 3: Cross multiply
    405,591.23x = 559,712.63 × 224,310.80
  4. Step 4: Simplify right side
    405,591.23x = 125,549,589,765.46
  5. Step 5: Solve for x
    x = 125,549,589,765.46/405,591.23
  6. Step 6: Final answer
    x = 309,547.10

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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.