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Finding the Fourth Proportional to 476,561.88, 657,803.01 and 306,796

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Solution

The fourth proportional to 476,561.88, 657,803.01 and 306,796 is: 423,473.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,561.88 : 657,803.01 = 306,796 : x
  2. Step 2: Convert to fraction form
    476,561.88/657,803.01 = 306,796/x
  3. Step 3: Cross multiply
    476,561.88x = 657,803.01 × 306,796
  4. Step 4: Simplify right side
    476,561.88x = 201,811,332,255.96
  5. Step 5: Solve for x
    x = 201,811,332,255.96/476,561.88
  6. Step 6: Final answer
    x = 423,473.51

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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.