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Finding the Fourth Proportional to 500,063, 690,093.42 and 273,703.64

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Solution

The fourth proportional to 500,063, 690,093.42 and 273,703.64 is: 377,714.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,063 : 690,093.42 = 273,703.64 : x
  2. Step 2: Convert to fraction form
    500,063/690,093.42 = 273,703.64/x
  3. Step 3: Cross multiply
    500,063x = 690,093.42 × 273,703.64
  4. Step 4: Simplify right side
    500,063x = 188,881,080,994.05
  5. Step 5: Solve for x
    x = 188,881,080,994.05/500,063
  6. Step 6: Final answer
    x = 377,714.57

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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.