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Finding the Fourth Proportional to 313,618.10, 432,830.06 and 186,294.20

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Solution

The fourth proportional to 313,618.10, 432,830.06 and 186,294.20 is: 257,108.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,618.10 : 432,830.06 = 186,294.20 : x
  2. Step 2: Convert to fraction form
    313,618.10/432,830.06 = 186,294.20/x
  3. Step 3: Cross multiply
    313,618.10x = 432,830.06 × 186,294.20
  4. Step 4: Simplify right side
    313,618.10x = 80,633,729,763.65
  5. Step 5: Solve for x
    x = 80,633,729,763.65/313,618.10
  6. Step 6: Final answer
    x = 257,108.02

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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.