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Finding the Fourth Proportional to 314,428.50, 433,897.74 and 171,189.06

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Solution

The fourth proportional to 314,428.50, 433,897.74 and 171,189.06 is: 236,233.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,428.50 : 433,897.74 = 171,189.06 : x
  2. Step 2: Convert to fraction form
    314,428.50/433,897.74 = 171,189.06/x
  3. Step 3: Cross multiply
    314,428.50x = 433,897.74 × 171,189.06
  4. Step 4: Simplify right side
    314,428.50x = 74,278,546,246.72
  5. Step 5: Solve for x
    x = 74,278,546,246.72/314,428.50
  6. Step 6: Final answer
    x = 236,233.50

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1.5x scale

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.