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Finding the Fourth Proportional to 357,412.33, 493,234.67 and 194,068.74

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Solution

The fourth proportional to 357,412.33, 493,234.67 and 194,068.74 is: 267,817.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,412.33 : 493,234.67 = 194,068.74 : x
  2. Step 2: Convert to fraction form
    357,412.33/493,234.67 = 194,068.74/x
  3. Step 3: Cross multiply
    357,412.33x = 493,234.67 × 194,068.74
  4. Step 4: Simplify right side
    357,412.33x = 95,721,432,174.38
  5. Step 5: Solve for x
    x = 95,721,432,174.38/357,412.33
  6. Step 6: Final answer
    x = 267,817.93

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1.5x scale

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.