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Finding the Fourth Proportional to 314,271.88, 433,696.73 and 171,031.92

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Solution

The fourth proportional to 314,271.88, 433,696.73 and 171,031.92 is: 236,024.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,271.88 : 433,696.73 = 171,031.92 : x
  2. Step 2: Convert to fraction form
    314,271.88/433,696.73 = 171,031.92/x
  3. Step 3: Cross multiply
    314,271.88x = 433,696.73 × 171,031.92
  4. Step 4: Simplify right side
    314,271.88x = 74,175,985,349.70
  5. Step 5: Solve for x
    x = 74,175,985,349.70/314,271.88
  6. Step 6: Final answer
    x = 236,024.89

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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.