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Finding the Fourth Proportional to 511,790.60, 767,063.12 and 362,074.05

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Solution

The fourth proportional to 511,790.60, 767,063.12 and 362,074.05 is: 542,670.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,790.60 : 767,063.12 = 362,074.05 : x
  2. Step 2: Convert to fraction form
    511,790.60/767,063.12 = 362,074.05/x
  3. Step 3: Cross multiply
    511,790.60x = 767,063.12 × 362,074.05
  4. Step 4: Simplify right side
    511,790.60x = 277,733,648,653.67
  5. Step 5: Solve for x
    x = 277,733,648,653.67/511,790.60
  6. Step 6: Final answer
    x = 542,670.47

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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.