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Finding the Fourth Proportional to 561,731.82, 842,603.90 and 162,376.06

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Solution

The fourth proportional to 561,731.82, 842,603.90 and 162,376.06 is: 243,565.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,731.82 : 842,603.90 = 162,376.06 : x
  2. Step 2: Convert to fraction form
    561,731.82/842,603.90 = 162,376.06/x
  3. Step 3: Cross multiply
    561,731.82x = 842,603.90 × 162,376.06
  4. Step 4: Simplify right side
    561,731.82x = 136,818,701,422.63
  5. Step 5: Solve for x
    x = 136,818,701,422.63/561,731.82
  6. Step 6: Final answer
    x = 243,565.87

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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.