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Finding the Fourth Proportional to 405,946.10, 569,568.70 and 405,946.10

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Solution

The fourth proportional to 405,946.10, 569,568.70 and 405,946.10 is: 569,568.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,946.10 : 569,568.70 = 405,946.10 : x
  2. Step 2: Convert to fraction form
    405,946.10/569,568.70 = 405,946.10/x
  3. Step 3: Cross multiply
    405,946.10x = 569,568.70 × 405,946.10
  4. Step 4: Simplify right side
    405,946.10x = 231,214,192,447.07
  5. Step 5: Solve for x
    x = 231,214,192,447.07/405,946.10
  6. Step 6: Final answer
    x = 569,568.70

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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.