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Finding the Fourth Proportional to 349,525.46, 482,396.91 and 213,637.70

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Solution

The fourth proportional to 349,525.46, 482,396.91 and 213,637.70 is: 294,851.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,525.46 : 482,396.91 = 213,637.70 : x
  2. Step 2: Convert to fraction form
    349,525.46/482,396.91 = 213,637.70/x
  3. Step 3: Cross multiply
    349,525.46x = 482,396.91 × 213,637.70
  4. Step 4: Simplify right side
    349,525.46x = 103,058,166,339.51
  5. Step 5: Solve for x
    x = 103,058,166,339.51/349,525.46
  6. Step 6: Final answer
    x = 294,851.67

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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.