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Finding the Fourth Proportional to 314,114.39, 433,638.38 and 242,333.27

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Solution

The fourth proportional to 314,114.39, 433,638.38 and 242,333.27 is: 334,543.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,114.39 : 433,638.38 = 242,333.27 : x
  2. Step 2: Convert to fraction form
    314,114.39/433,638.38 = 242,333.27/x
  3. Step 3: Cross multiply
    314,114.39x = 433,638.38 × 242,333.27
  4. Step 4: Simplify right side
    314,114.39x = 105,085,005,060.54
  5. Step 5: Solve for x
    x = 105,085,005,060.54/314,114.39
  6. Step 6: Final answer
    x = 334,543.75

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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.