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Finding the Fourth Proportional to 561,538.10, 841,912.64 and 196,710.46

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Solution

The fourth proportional to 561,538.10, 841,912.64 and 196,710.46 is: 294,927.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,538.10 : 841,912.64 = 196,710.46 : x
  2. Step 2: Convert to fraction form
    561,538.10/841,912.64 = 196,710.46/x
  3. Step 3: Cross multiply
    561,538.10x = 841,912.64 × 196,710.46
  4. Step 4: Simplify right side
    561,538.10x = 165,613,017,501.10
  5. Step 5: Solve for x
    x = 165,613,017,501.10/561,538.10
  6. Step 6: Final answer
    x = 294,927.48

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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.