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Finding the Fourth Proportional to 313,871.04, 470,653.47 and 111,398.58

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Solution

The fourth proportional to 313,871.04, 470,653.47 and 111,398.58 is: 167,043.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,871.04 : 470,653.47 = 111,398.58 : x
  2. Step 2: Convert to fraction form
    313,871.04/470,653.47 = 111,398.58/x
  3. Step 3: Cross multiply
    313,871.04x = 470,653.47 × 111,398.58
  4. Step 4: Simplify right side
    313,871.04x = 52,430,128,230.07
  5. Step 5: Solve for x
    x = 52,430,128,230.07/313,871.04
  6. Step 6: Final answer
    x = 167,043.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.