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Finding the Fourth Proportional to 357,294.29, 493,036.82 and 196,143.83

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Solution

The fourth proportional to 357,294.29, 493,036.82 and 196,143.83 is: 270,662.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,294.29 : 493,036.82 = 196,143.83 : x
  2. Step 2: Convert to fraction form
    357,294.29/493,036.82 = 196,143.83/x
  3. Step 3: Cross multiply
    357,294.29x = 493,036.82 × 196,143.83
  4. Step 4: Simplify right side
    357,294.29x = 96,706,130,447.65
  5. Step 5: Solve for x
    x = 96,706,130,447.65/357,294.29
  6. Step 6: Final answer
    x = 270,662.40

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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.