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Finding the Fourth Proportional to 293,598.70, 411,971.30 and 293,598.70

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Solution

The fourth proportional to 293,598.70, 411,971.30 and 293,598.70 is: 411,971.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,598.70 : 411,971.30 = 293,598.70 : x
  2. Step 2: Convert to fraction form
    293,598.70/411,971.30 = 293,598.70/x
  3. Step 3: Cross multiply
    293,598.70x = 411,971.30 × 293,598.70
  4. Step 4: Simplify right side
    293,598.70x = 120,954,238,117.31
  5. Step 5: Solve for x
    x = 120,954,238,117.31/293,598.70
  6. Step 6: Final answer
    x = 411,971.30

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.