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Finding the Fourth Proportional to 492,122.32, 679,128.80 and 265,767.82

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Solution

The fourth proportional to 492,122.32, 679,128.80 and 265,767.82 is: 366,759.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,122.32 : 679,128.80 = 265,767.82 : x
  2. Step 2: Convert to fraction form
    492,122.32/679,128.80 = 265,767.82/x
  3. Step 3: Cross multiply
    492,122.32x = 679,128.80 × 265,767.82
  4. Step 4: Simplify right side
    492,122.32x = 180,490,580,675.22
  5. Step 5: Solve for x
    x = 180,490,580,675.22/492,122.32
  6. Step 6: Final answer
    x = 366,759.59

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Why These Related Problems?

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