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Finding the Fourth Proportional to 405,584.96, 559,728.24 and 233,528.48

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Solution

The fourth proportional to 405,584.96, 559,728.24 and 233,528.48 is: 322,281.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,584.96 : 559,728.24 = 233,528.48 : x
  2. Step 2: Convert to fraction form
    405,584.96/559,728.24 = 233,528.48/x
  3. Step 3: Cross multiply
    405,584.96x = 559,728.24 × 233,528.48
  4. Step 4: Simplify right side
    405,584.96x = 130,712,485,100.28
  5. Step 5: Solve for x
    x = 130,712,485,100.28/405,584.96
  6. Step 6: Final answer
    x = 322,281.39

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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.