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Finding the Fourth Proportional to 653,250.23, 978,956.40 and 519,537.05

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Solution

The fourth proportional to 653,250.23, 978,956.40 and 519,537.05 is: 778,574.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,250.23 : 978,956.40 = 519,537.05 : x
  2. Step 2: Convert to fraction form
    653,250.23/978,956.40 = 519,537.05/x
  3. Step 3: Cross multiply
    653,250.23x = 978,956.40 × 519,537.05
  4. Step 4: Simplify right side
    653,250.23x = 508,604,120,134.62
  5. Step 5: Solve for x
    x = 508,604,120,134.62/653,250.23
  6. Step 6: Final answer
    x = 778,574.73

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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.