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Finding the Fourth Proportional to 369,525.32, 509,944.74 and 199,759.76

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Solution

The fourth proportional to 369,525.32, 509,944.74 and 199,759.76 is: 275,668.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,525.32 : 509,944.74 = 199,759.76 : x
  2. Step 2: Convert to fraction form
    369,525.32/509,944.74 = 199,759.76/x
  3. Step 3: Cross multiply
    369,525.32x = 509,944.74 × 199,759.76
  4. Step 4: Simplify right side
    369,525.32x = 101,866,438,875.66
  5. Step 5: Solve for x
    x = 101,866,438,875.66/369,525.32
  6. Step 6: Final answer
    x = 275,668.36

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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.