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Finding the Fourth Proportional to 357,886.85, 493,893.36 and 194,554.40

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Solution

The fourth proportional to 357,886.85, 493,893.36 and 194,554.40 is: 268,490.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,886.85 : 493,893.36 = 194,554.40 : x
  2. Step 2: Convert to fraction form
    357,886.85/493,893.36 = 194,554.40/x
  3. Step 3: Cross multiply
    357,886.85x = 493,893.36 × 194,554.40
  4. Step 4: Simplify right side
    357,886.85x = 96,089,123,849.32
  5. Step 5: Solve for x
    x = 96,089,123,849.32/357,886.85
  6. Step 6: Final answer
    x = 268,490.24

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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.