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Finding the Fourth Proportional to 342,823.80, 514,235.70 and 335,825.40

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Solution

The fourth proportional to 342,823.80, 514,235.70 and 335,825.40 is: 503,738.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,823.80 : 514,235.70 = 335,825.40 : x
  2. Step 2: Convert to fraction form
    342,823.80/514,235.70 = 335,825.40/x
  3. Step 3: Cross multiply
    342,823.80x = 514,235.70 × 335,825.40
  4. Step 4: Simplify right side
    342,823.80x = 172,693,409,646.78
  5. Step 5: Solve for x
    x = 172,693,409,646.78/342,823.80
  6. Step 6: Final answer
    x = 503,738.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.