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Finding the Fourth Proportional to 431,749.98, 595,817.37 and 238,164.50

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Solution

The fourth proportional to 431,749.98, 595,817.37 and 238,164.50 is: 328,668.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,749.98 : 595,817.37 = 238,164.50 : x
  2. Step 2: Convert to fraction form
    431,749.98/595,817.37 = 238,164.50/x
  3. Step 3: Cross multiply
    431,749.98x = 595,817.37 × 238,164.50
  4. Step 4: Simplify right side
    431,749.98x = 141,902,547,506.91
  5. Step 5: Solve for x
    x = 141,902,547,506.91/431,749.98
  6. Step 6: Final answer
    x = 328,668.34

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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.