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Finding the Fourth Proportional to 299,032.98, 412,675.47 and 163,074.36

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Solution

The fourth proportional to 299,032.98, 412,675.47 and 163,074.36 is: 225,048.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,032.98 : 412,675.47 = 163,074.36 : x
  2. Step 2: Convert to fraction form
    299,032.98/412,675.47 = 163,074.36/x
  3. Step 3: Cross multiply
    299,032.98x = 412,675.47 × 163,074.36
  4. Step 4: Simplify right side
    299,032.98x = 67,296,788,157.95
  5. Step 5: Solve for x
    x = 67,296,788,157.95/299,032.98
  6. Step 6: Final answer
    x = 225,048.05

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1.5x scale

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.