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Finding the Fourth Proportional to 369,907.58, 510,474.21 and 208,769.42

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Solution

The fourth proportional to 369,907.58, 510,474.21 and 208,769.42 is: 288,102.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,907.58 : 510,474.21 = 208,769.42 : x
  2. Step 2: Convert to fraction form
    369,907.58/510,474.21 = 208,769.42/x
  3. Step 3: Cross multiply
    369,907.58x = 510,474.21 × 208,769.42
  4. Step 4: Simplify right side
    369,907.58x = 106,571,404,746.66
  5. Step 5: Solve for x
    x = 106,571,404,746.66/369,907.58
  6. Step 6: Final answer
    x = 288,102.79

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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.