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Finding the Fourth Proportional to 314,412.34, 433,898.10 and 171,174.82

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Solution

The fourth proportional to 314,412.34, 433,898.10 and 171,174.82 is: 236,226.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,412.34 : 433,898.10 = 171,174.82 : x
  2. Step 2: Convert to fraction form
    314,412.34/433,898.10 = 171,174.82/x
  3. Step 3: Cross multiply
    314,412.34x = 433,898.10 × 171,174.82
  4. Step 4: Simplify right side
    314,412.34x = 74,272,429,165.84
  5. Step 5: Solve for x
    x = 74,272,429,165.84/314,412.34
  6. Step 6: Final answer
    x = 236,226.19

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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.