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Finding the Fourth Proportional to 313,885.40, 470,828.10 and 166,429.40

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Solution

The fourth proportional to 313,885.40, 470,828.10 and 166,429.40 is: 249,644.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,885.40 : 470,828.10 = 166,429.40 : x
  2. Step 2: Convert to fraction form
    313,885.40/470,828.10 = 166,429.40/x
  3. Step 3: Cross multiply
    313,885.40x = 470,828.10 × 166,429.40
  4. Step 4: Simplify right side
    313,885.40x = 78,359,638,186.14
  5. Step 5: Solve for x
    x = 78,359,638,186.14/313,885.40
  6. Step 6: Final answer
    x = 249,644.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.