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Finding the Fourth Proportional to 456,448.64, 681,328.69 and 402,581.21

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Solution

The fourth proportional to 456,448.64, 681,328.69 and 402,581.21 is: 600,922.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,448.64 : 681,328.69 = 402,581.21 : x
  2. Step 2: Convert to fraction form
    456,448.64/681,328.69 = 402,581.21/x
  3. Step 3: Cross multiply
    456,448.64x = 681,328.69 × 402,581.21
  4. Step 4: Simplify right side
    456,448.64x = 274,290,128,427.92
  5. Step 5: Solve for x
    x = 274,290,128,427.92/456,448.64
  6. Step 6: Final answer
    x = 600,922.22

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.