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Finding the Fourth Proportional to 492,655.74, 738,313.83 and 208,110.63

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Solution

The fourth proportional to 492,655.74, 738,313.83 and 208,110.63 is: 311,883.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,655.74 : 738,313.83 = 208,110.63 : x
  2. Step 2: Convert to fraction form
    492,655.74/738,313.83 = 208,110.63/x
  3. Step 3: Cross multiply
    492,655.74x = 738,313.83 × 208,110.63
  4. Step 4: Simplify right side
    492,655.74x = 153,650,956,299.01
  5. Step 5: Solve for x
    x = 153,650,956,299.01/492,655.74
  6. Step 6: Final answer
    x = 311,883.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.