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Finding the Fourth Proportional to 714,670.49, 985,964.00 and 408,582.43

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Solution

The fourth proportional to 714,670.49, 985,964.00 and 408,582.43 is: 563,682.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    714,670.49 : 985,964.00 = 408,582.43 : x
  2. Step 2: Convert to fraction form
    714,670.49/985,964.00 = 408,582.43/x
  3. Step 3: Cross multiply
    714,670.49x = 985,964.00 × 408,582.43
  4. Step 4: Simplify right side
    714,670.49x = 402,847,562,504.70
  5. Step 5: Solve for x
    x = 402,847,562,504.70/714,670.49
  6. Step 6: Final answer
    x = 563,682.94

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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.