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Finding the Fourth Proportional to 333,312.58, 460,031.23 and 188,162.61

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Solution

The fourth proportional to 333,312.58, 460,031.23 and 188,162.61 is: 259,698.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,312.58 : 460,031.23 = 188,162.61 : x
  2. Step 2: Convert to fraction form
    333,312.58/460,031.23 = 188,162.61/x
  3. Step 3: Cross multiply
    333,312.58x = 460,031.23 × 188,162.61
  4. Step 4: Simplify right side
    333,312.58x = 86,560,676,918.31
  5. Step 5: Solve for x
    x = 86,560,676,918.31/333,312.58
  6. Step 6: Final answer
    x = 259,698.20

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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.