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Finding the Fourth Proportional to 314,421.50, 433,888.08 and 171,182.06

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Solution

The fourth proportional to 314,421.50, 433,888.08 and 171,182.06 is: 236,223.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,421.50 : 433,888.08 = 171,182.06 : x
  2. Step 2: Convert to fraction form
    314,421.50/433,888.08 = 171,182.06/x
  3. Step 3: Cross multiply
    314,421.50x = 433,888.08 × 171,182.06
  4. Step 4: Simplify right side
    314,421.50x = 74,273,855,343.84
  5. Step 5: Solve for x
    x = 74,273,855,343.84/314,421.50
  6. Step 6: Final answer
    x = 236,223.84

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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.