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Finding the Fourth Proportional to 476,694.30, 657,842.88 and 258,907.23

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Solution

The fourth proportional to 476,694.30, 657,842.88 and 258,907.23 is: 357,294.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,694.30 : 657,842.88 = 258,907.23 : x
  2. Step 2: Convert to fraction form
    476,694.30/657,842.88 = 258,907.23/x
  3. Step 3: Cross multiply
    476,694.30x = 657,842.88 × 258,907.23
  4. Step 4: Simplify right side
    476,694.30x = 170,320,277,836.02
  5. Step 5: Solve for x
    x = 170,320,277,836.02/476,694.30
  6. Step 6: Final answer
    x = 357,294.56

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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.