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Finding the Fourth Proportional to 476,709.63, 657,859.35 and 261,853.35

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Solution

The fourth proportional to 476,709.63, 657,859.35 and 261,853.35 is: 361,357.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,709.63 : 657,859.35 = 261,853.35 : x
  2. Step 2: Convert to fraction form
    476,709.63/657,859.35 = 261,853.35/x
  3. Step 3: Cross multiply
    476,709.63x = 657,859.35 × 261,853.35
  4. Step 4: Simplify right side
    476,709.63x = 172,262,674,626.32
  5. Step 5: Solve for x
    x = 172,262,674,626.32/476,709.63
  6. Step 6: Final answer
    x = 361,357.66

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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.