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Finding the Fourth Proportional to 409,848, 565,590.24 and 231,000

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Solution

The fourth proportional to 409,848, 565,590.24 and 231,000 is: 318,780

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,848 : 565,590.24 = 231,000 : x
  2. Step 2: Convert to fraction form
    409,848/565,590.24 = 231,000/x
  3. Step 3: Cross multiply
    409,848x = 565,590.24 × 231,000
  4. Step 4: Simplify right side
    409,848x = 130,651,345,440
  5. Step 5: Solve for x
    x = 130,651,345,440/409,848
  6. Step 6: Final answer
    x = 318,780

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.