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Finding the Fourth Proportional to 314,644.40, 434,207.14 and 171,404.54

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Solution

The fourth proportional to 314,644.40, 434,207.14 and 171,404.54 is: 236,537.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,644.40 : 434,207.14 = 171,404.54 : x
  2. Step 2: Convert to fraction form
    314,644.40/434,207.14 = 171,404.54/x
  3. Step 3: Cross multiply
    314,644.40x = 434,207.14 × 171,404.54
  4. Step 4: Simplify right side
    314,644.40x = 74,425,075,096.42
  5. Step 5: Solve for x
    x = 74,425,075,096.42/314,644.40
  6. Step 6: Final answer
    x = 236,537.10

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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.