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Finding the Fourth Proportional to 661,690, 992,199.66 and 282,551.68

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Solution

The fourth proportional to 661,690, 992,199.66 and 282,551.68 is: 423,684.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,690 : 992,199.66 = 282,551.68 : x
  2. Step 2: Convert to fraction form
    661,690/992,199.66 = 282,551.68/x
  3. Step 3: Cross multiply
    661,690x = 992,199.66 × 282,551.68
  4. Step 4: Simplify right side
    661,690x = 280,347,680,828.43
  5. Step 5: Solve for x
    x = 280,347,680,828.43/661,690
  6. Step 6: Final answer
    x = 423,684.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.