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Finding the Fourth Proportional to 314,279.54, 433,697.42 and 171,036.50

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Solution

The fourth proportional to 314,279.54, 433,697.42 and 171,036.50 is: 236,025.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,279.54 : 433,697.42 = 171,036.50 : x
  2. Step 2: Convert to fraction form
    314,279.54/433,697.42 = 171,036.50/x
  3. Step 3: Cross multiply
    314,279.54x = 433,697.42 × 171,036.50
  4. Step 4: Simplify right side
    314,279.54x = 74,178,088,775.83
  5. Step 5: Solve for x
    x = 74,178,088,775.83/314,279.54
  6. Step 6: Final answer
    x = 236,025.83

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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.