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Finding the Fourth Proportional to 230,973.80, 346,460.70 and 220,148.15

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Solution

The fourth proportional to 230,973.80, 346,460.70 and 220,148.15 is: 330,222.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,973.80 : 346,460.70 = 220,148.15 : x
  2. Step 2: Convert to fraction form
    230,973.80/346,460.70 = 220,148.15/x
  3. Step 3: Cross multiply
    230,973.80x = 346,460.70 × 220,148.15
  4. Step 4: Simplify right side
    230,973.80x = 76,272,682,152.71
  5. Step 5: Solve for x
    x = 76,272,682,152.71/230,973.80
  6. Step 6: Final answer
    x = 330,222.23

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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.