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Finding the Fourth Proportional to 405,910.20, 569,207.40 and 405,910.20

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Solution

The fourth proportional to 405,910.20, 569,207.40 and 405,910.20 is: 569,207.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,910.20 : 569,207.40 = 405,910.20 : x
  2. Step 2: Convert to fraction form
    405,910.20/569,207.40 = 405,910.20/x
  3. Step 3: Cross multiply
    405,910.20x = 569,207.40 × 405,910.20
  4. Step 4: Simplify right side
    405,910.20x = 231,047,089,575.48
  5. Step 5: Solve for x
    x = 231,047,089,575.48/405,910.20
  6. Step 6: Final answer
    x = 569,207.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.