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Finding the Fourth Proportional to 357,333.84, 493,121.04 and 206,430.84

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Solution

The fourth proportional to 357,333.84, 493,121.04 and 206,430.84 is: 284,874.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,333.84 : 493,121.04 = 206,430.84 : x
  2. Step 2: Convert to fraction form
    357,333.84/493,121.04 = 206,430.84/x
  3. Step 3: Cross multiply
    357,333.84x = 493,121.04 × 206,430.84
  4. Step 4: Simplify right side
    357,333.84x = 101,795,390,508.87
  5. Step 5: Solve for x
    x = 101,795,390,508.87/357,333.84
  6. Step 6: Final answer
    x = 284,874.76

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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.