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Finding the Fourth Proportional to 231,569.34, 347,354 and 65,357.34

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Solution

The fourth proportional to 231,569.34, 347,354 and 65,357.34 is: 98,036.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,569.34 : 347,354 = 65,357.34 : x
  2. Step 2: Convert to fraction form
    231,569.34/347,354 = 65,357.34/x
  3. Step 3: Cross multiply
    231,569.34x = 347,354 × 65,357.34
  4. Step 4: Simplify right side
    231,569.34x = 22,702,133,478.36
  5. Step 5: Solve for x
    x = 22,702,133,478.36/231,569.34
  6. Step 6: Final answer
    x = 98,036.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.