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Finding the Fourth Proportional to 357,454.88, 493,296.48 and 194,118.40

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Solution

The fourth proportional to 357,454.88, 493,296.48 and 194,118.40 is: 267,888.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,454.88 : 493,296.48 = 194,118.40 : x
  2. Step 2: Convert to fraction form
    357,454.88/493,296.48 = 194,118.40/x
  3. Step 3: Cross multiply
    357,454.88x = 493,296.48 × 194,118.40
  4. Step 4: Simplify right side
    357,454.88x = 95,757,923,423.23
  5. Step 5: Solve for x
    x = 95,757,923,423.23/357,454.88
  6. Step 6: Final answer
    x = 267,888.14

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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.