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Finding the Fourth Proportional to 313,506.16, 432,638.40 and 170,266.24

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Solution

The fourth proportional to 313,506.16, 432,638.40 and 170,266.24 is: 234,967.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,506.16 : 432,638.40 = 170,266.24 : x
  2. Step 2: Convert to fraction form
    313,506.16/432,638.40 = 170,266.24/x
  3. Step 3: Cross multiply
    313,506.16x = 432,638.40 × 170,266.24
  4. Step 4: Simplify right side
    313,506.16x = 73,663,713,647.62
  5. Step 5: Solve for x
    x = 73,663,713,647.62/313,506.16
  6. Step 6: Final answer
    x = 234,967.36

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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.