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Finding the Fourth Proportional to 369,166.08, 509,449.50 and 199,400.34

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Solution

The fourth proportional to 369,166.08, 509,449.50 and 199,400.34 is: 275,172.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,166.08 : 509,449.50 = 199,400.34 : x
  2. Step 2: Convert to fraction form
    369,166.08/509,449.50 = 199,400.34/x
  3. Step 3: Cross multiply
    369,166.08x = 509,449.50 × 199,400.34
  4. Step 4: Simplify right side
    369,166.08x = 101,584,403,512.83
  5. Step 5: Solve for x
    x = 101,584,403,512.83/369,166.08
  6. Step 6: Final answer
    x = 275,172.64

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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.