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Finding the Fourth Proportional to 691,894.64, 954,792.94 and 405,605.40

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Solution

The fourth proportional to 691,894.64, 954,792.94 and 405,605.40 is: 559,722.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,894.64 : 954,792.94 = 405,605.40 : x
  2. Step 2: Convert to fraction form
    691,894.64/954,792.94 = 405,605.40/x
  3. Step 3: Cross multiply
    691,894.64x = 954,792.94 × 405,605.40
  4. Step 4: Simplify right side
    691,894.64x = 387,269,172,345.88
  5. Step 5: Solve for x
    x = 387,269,172,345.88/691,894.64
  6. Step 6: Final answer
    x = 559,722.75

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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.