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Finding the Fourth Proportional to 357,514.94, 493,404.88 and 204,522.75

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Solution

The fourth proportional to 357,514.94, 493,404.88 and 204,522.75 is: 282,261.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,514.94 : 493,404.88 = 204,522.75 : x
  2. Step 2: Convert to fraction form
    357,514.94/493,404.88 = 204,522.75/x
  3. Step 3: Cross multiply
    357,514.94x = 493,404.88 × 204,522.75
  4. Step 4: Simplify right side
    357,514.94x = 100,912,522,921.02
  5. Step 5: Solve for x
    x = 100,912,522,921.02/357,514.94
  6. Step 6: Final answer
    x = 282,261.00

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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.