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Finding the Fourth Proportional to 602,266, 903,451.32 and 159,034

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Solution

The fourth proportional to 602,266, 903,451.32 and 159,034 is: 238,564.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,266 : 903,451.32 = 159,034 : x
  2. Step 2: Convert to fraction form
    602,266/903,451.32 = 159,034/x
  3. Step 3: Cross multiply
    602,266x = 903,451.32 × 159,034
  4. Step 4: Simplify right side
    602,266x = 143,679,477,224.88
  5. Step 5: Solve for x
    x = 143,679,477,224.88/602,266
  6. Step 6: Final answer
    x = 238,564.82

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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.