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Finding the Fourth Proportional to 370,071.42, 510,670.06 and 208,942.37

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Solution

The fourth proportional to 370,071.42, 510,670.06 and 208,942.37 is: 288,324.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,071.42 : 510,670.06 = 208,942.37 : x
  2. Step 2: Convert to fraction form
    370,071.42/510,670.06 = 208,942.37/x
  3. Step 3: Cross multiply
    370,071.42x = 510,670.06 × 208,942.37
  4. Step 4: Simplify right side
    370,071.42x = 106,700,612,624.44
  5. Step 5: Solve for x
    x = 106,700,612,624.44/370,071.42
  6. Step 6: Final answer
    x = 288,324.38

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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.