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Finding the Fourth Proportional to 705,226.32, 973,204.74 and 399,294.18

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Solution

The fourth proportional to 705,226.32, 973,204.74 and 399,294.18 is: 551,021.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,226.32 : 973,204.74 = 399,294.18 : x
  2. Step 2: Convert to fraction form
    705,226.32/973,204.74 = 399,294.18/x
  3. Step 3: Cross multiply
    705,226.32x = 973,204.74 × 399,294.18
  4. Step 4: Simplify right side
    705,226.32x = 388,594,988,630.41
  5. Step 5: Solve for x
    x = 388,594,988,630.41/705,226.32
  6. Step 6: Final answer
    x = 551,021.68

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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.