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Finding the Fourth Proportional to 356,846, 535,476.36 and 159,854

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Solution

The fourth proportional to 356,846, 535,476.36 and 159,854 is: 239,873.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,846 : 535,476.36 = 159,854 : x
  2. Step 2: Convert to fraction form
    356,846/535,476.36 = 159,854/x
  3. Step 3: Cross multiply
    356,846x = 535,476.36 × 159,854
  4. Step 4: Simplify right side
    356,846x = 85,598,038,051.44
  5. Step 5: Solve for x
    x = 85,598,038,051.44/356,846
  6. Step 6: Final answer
    x = 239,873.89

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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.