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Finding the Fourth Proportional to 602,449.98, 903,122.01 and 208,189.50

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Solution

The fourth proportional to 602,449.98, 903,122.01 and 208,189.50 is: 312,093.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,449.98 : 903,122.01 = 208,189.50 : x
  2. Step 2: Convert to fraction form
    602,449.98/903,122.01 = 208,189.50/x
  3. Step 3: Cross multiply
    602,449.98x = 903,122.01 × 208,189.50
  4. Step 4: Simplify right side
    602,449.98x = 188,020,519,700.90
  5. Step 5: Solve for x
    x = 188,020,519,700.90/602,449.98
  6. Step 6: Final answer
    x = 312,093.16

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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.