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Finding the Fourth Proportional to 476,234.64, 657,101.16 and 274,914

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Solution

The fourth proportional to 476,234.64, 657,101.16 and 274,914 is: 379,322.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,234.64 : 657,101.16 = 274,914 : x
  2. Step 2: Convert to fraction form
    476,234.64/657,101.16 = 274,914/x
  3. Step 3: Cross multiply
    476,234.64x = 657,101.16 × 274,914
  4. Step 4: Simplify right side
    476,234.64x = 180,646,308,300.24
  5. Step 5: Solve for x
    x = 180,646,308,300.24/476,234.64
  6. Step 6: Final answer
    x = 379,322.07

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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.