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Finding the Fourth Proportional to 314,361.21, 433,828.93 and 176,564.38

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Solution

The fourth proportional to 314,361.21, 433,828.93 and 176,564.38 is: 243,664.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,361.21 : 433,828.93 = 176,564.38 : x
  2. Step 2: Convert to fraction form
    314,361.21/433,828.93 = 176,564.38/x
  3. Step 3: Cross multiply
    314,361.21x = 433,828.93 × 176,564.38
  4. Step 4: Simplify right side
    314,361.21x = 76,598,735,408.35
  5. Step 5: Solve for x
    x = 76,598,735,408.35/314,361.21
  6. Step 6: Final answer
    x = 243,664.72

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Why These Related Problems?

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