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Finding the Fourth Proportional to 476,696.93, 657,846.50 and 258,909.84

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Solution

The fourth proportional to 476,696.93, 657,846.50 and 258,909.84 is: 357,298.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,696.93 : 657,846.50 = 258,909.84 : x
  2. Step 2: Convert to fraction form
    476,696.93/657,846.50 = 258,909.84/x
  3. Step 3: Cross multiply
    476,696.93x = 657,846.50 × 258,909.84
  4. Step 4: Simplify right side
    476,696.93x = 170,322,930,765.01
  5. Step 5: Solve for x
    x = 170,322,930,765.01/476,696.93
  6. Step 6: Final answer
    x = 357,298.15

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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.