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Finding the Fourth Proportional to 463,667.09, 695,763.68 and 197,399.84

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Solution

The fourth proportional to 463,667.09, 695,763.68 and 197,399.84 is: 296,211.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,667.09 : 695,763.68 = 197,399.84 : x
  2. Step 2: Convert to fraction form
    463,667.09/695,763.68 = 197,399.84/x
  3. Step 3: Cross multiply
    463,667.09x = 695,763.68 × 197,399.84
  4. Step 4: Simplify right side
    463,667.09x = 137,343,634,643.99
  5. Step 5: Solve for x
    x = 137,343,634,643.99/463,667.09
  6. Step 6: Final answer
    x = 296,211.74

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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.