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Finding the Fourth Proportional to 313,702.74, 432,908.26 and 177,736.42

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Solution

The fourth proportional to 313,702.74, 432,908.26 and 177,736.42 is: 245,275.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,702.74 : 432,908.26 = 177,736.42 : x
  2. Step 2: Convert to fraction form
    313,702.74/432,908.26 = 177,736.42/x
  3. Step 3: Cross multiply
    313,702.74x = 432,908.26 × 177,736.42
  4. Step 4: Simplify right side
    313,702.74x = 76,943,564,320.83
  5. Step 5: Solve for x
    x = 76,943,564,320.83/313,702.74
  6. Step 6: Final answer
    x = 245,275.40

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