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Finding the Fourth Proportional to 706,473.32, 974,940.10 and 384,190.38

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Solution

The fourth proportional to 706,473.32, 974,940.10 and 384,190.38 is: 530,186.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,473.32 : 974,940.10 = 384,190.38 : x
  2. Step 2: Convert to fraction form
    706,473.32/974,940.10 = 384,190.38/x
  3. Step 3: Cross multiply
    706,473.32x = 974,940.10 × 384,190.38
  4. Step 4: Simplify right side
    706,473.32x = 374,562,607,496.24
  5. Step 5: Solve for x
    x = 374,562,607,496.24/706,473.32
  6. Step 6: Final answer
    x = 530,186.49

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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.