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Finding the Fourth Proportional to 520,097.15, 780,145.73 and 520,097.15

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Solution

The fourth proportional to 520,097.15, 780,145.73 and 520,097.15 is: 780,145.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,097.15 : 780,145.73 = 520,097.15 : x
  2. Step 2: Convert to fraction form
    520,097.15/780,145.73 = 520,097.15/x
  3. Step 3: Cross multiply
    520,097.15x = 780,145.73 × 520,097.15
  4. Step 4: Simplify right side
    520,097.15x = 405,751,570,757.67
  5. Step 5: Solve for x
    x = 405,751,570,757.67/520,097.15
  6. Step 6: Final answer
    x = 780,145.73

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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.