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Finding the Fourth Proportional to 313,762.43, 432,995.50 and 170,522.48

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Solution

The fourth proportional to 313,762.43, 432,995.50 and 170,522.48 is: 235,322.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,762.43 : 432,995.50 = 170,522.48 : x
  2. Step 2: Convert to fraction form
    313,762.43/432,995.50 = 170,522.48/x
  3. Step 3: Cross multiply
    313,762.43x = 432,995.50 × 170,522.48
  4. Step 4: Simplify right side
    313,762.43x = 73,835,464,537.02
  5. Step 5: Solve for x
    x = 73,835,464,537.02/313,762.43
  6. Step 6: Final answer
    x = 235,322.84

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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.