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Finding the Fourth Proportional to 357,404.62, 493,226.96 and 194,068.06

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Solution

The fourth proportional to 357,404.62, 493,226.96 and 194,068.06 is: 267,818.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,404.62 : 493,226.96 = 194,068.06 : x
  2. Step 2: Convert to fraction form
    357,404.62/493,226.96 = 194,068.06/x
  3. Step 3: Cross multiply
    357,404.62x = 493,226.96 × 194,068.06
  4. Step 4: Simplify right side
    357,404.62x = 95,719,599,266.90
  5. Step 5: Solve for x
    x = 95,719,599,266.90/357,404.62
  6. Step 6: Final answer
    x = 267,818.58

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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.