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Finding the Fourth Proportional to 299,312.40, 413,121.80 and 172,061.80

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Solution

The fourth proportional to 299,312.40, 413,121.80 and 172,061.80 is: 237,485.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,312.40 : 413,121.80 = 172,061.80 : x
  2. Step 2: Convert to fraction form
    299,312.40/413,121.80 = 172,061.80/x
  3. Step 3: Cross multiply
    299,312.40x = 413,121.80 × 172,061.80
  4. Step 4: Simplify right side
    299,312.40x = 71,082,480,527.24
  5. Step 5: Solve for x
    x = 71,082,480,527.24/299,312.40
  6. Step 6: Final answer
    x = 237,485.92

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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.