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Finding the Fourth Proportional to 405,957.60, 569,584.80 and 405,957.60

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Solution

The fourth proportional to 405,957.60, 569,584.80 and 405,957.60 is: 569,584.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,957.60 : 569,584.80 = 405,957.60 : x
  2. Step 2: Convert to fraction form
    405,957.60/569,584.80 = 405,957.60/x
  3. Step 3: Cross multiply
    405,957.60x = 569,584.80 × 405,957.60
  4. Step 4: Simplify right side
    405,957.60x = 231,227,278,404.48
  5. Step 5: Solve for x
    x = 231,227,278,404.48/405,957.60
  6. Step 6: Final answer
    x = 569,584.80

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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.