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Finding the Fourth Proportional to 513,535.63, 770,633.93 and 277,041.55

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Solution

The fourth proportional to 513,535.63, 770,633.93 and 277,041.55 is: 415,740.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,535.63 : 770,633.93 = 277,041.55 : x
  2. Step 2: Convert to fraction form
    513,535.63/770,633.93 = 277,041.55/x
  3. Step 3: Cross multiply
    513,535.63x = 770,633.93 × 277,041.55
  4. Step 4: Simplify right side
    513,535.63x = 213,497,618,449.79
  5. Step 5: Solve for x
    x = 213,497,618,449.79/513,535.63
  6. Step 6: Final answer
    x = 415,740.61

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1.5x scale

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.