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Finding the Fourth Proportional to 714,116.43, 985,480.69 and 408,199.44

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Solution

The fourth proportional to 714,116.43, 985,480.69 and 408,199.44 is: 563,315.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,116.43 : 985,480.69 = 408,199.44 : x
  2. Step 2: Convert to fraction form
    714,116.43/985,480.69 = 408,199.44/x
  3. Step 3: Cross multiply
    714,116.43x = 985,480.69 × 408,199.44
  4. Step 4: Simplify right side
    714,116.43x = 402,272,664,768.32
  5. Step 5: Solve for x
    x = 402,272,664,768.32/714,116.43
  6. Step 6: Final answer
    x = 563,315.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.