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Finding the Fourth Proportional to 476,595.48, 657,706.30 and 261,740

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Solution

The fourth proportional to 476,595.48, 657,706.30 and 261,740 is: 361,203.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,595.48 : 657,706.30 = 261,740 : x
  2. Step 2: Convert to fraction form
    476,595.48/657,706.30 = 261,740/x
  3. Step 3: Cross multiply
    476,595.48x = 657,706.30 × 261,740
  4. Step 4: Simplify right side
    476,595.48x = 172,148,046,962
  5. Step 5: Solve for x
    x = 172,148,046,962/476,595.48
  6. Step 6: Final answer
    x = 361,203.69

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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.