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Finding the Fourth Proportional to 405,439.16, 559,594.86 and 235,771.16

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Solution

The fourth proportional to 405,439.16, 559,594.86 and 235,771.16 is: 325,415.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,439.16 : 559,594.86 = 235,771.16 : x
  2. Step 2: Convert to fraction form
    405,439.16/559,594.86 = 235,771.16/x
  3. Step 3: Cross multiply
    405,439.16x = 559,594.86 × 235,771.16
  4. Step 4: Simplify right side
    405,439.16x = 131,936,329,272.24
  5. Step 5: Solve for x
    x = 131,936,329,272.24/405,439.16
  6. Step 6: Final answer
    x = 325,415.85

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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.