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Finding the Fourth Proportional to 561,535.35, 841,908.51 and 196,707.71

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Solution

The fourth proportional to 561,535.35, 841,908.51 and 196,707.71 is: 294,923.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,535.35 : 841,908.51 = 196,707.71 : x
  2. Step 2: Convert to fraction form
    561,535.35/841,908.51 = 196,707.71/x
  3. Step 3: Cross multiply
    561,535.35x = 841,908.51 × 196,707.71
  4. Step 4: Simplify right side
    561,535.35x = 165,609,890,822.07
  5. Step 5: Solve for x
    x = 165,609,890,822.07/561,535.35
  6. Step 6: Final answer
    x = 294,923.36

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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.