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Finding the Fourth Proportional to 314,274.13, 433,689.98 and 171,031.10

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Solution

The fourth proportional to 314,274.13, 433,689.98 and 171,031.10 is: 236,018.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,274.13 : 433,689.98 = 171,031.10 : x
  2. Step 2: Convert to fraction form
    314,274.13/433,689.98 = 171,031.10/x
  3. Step 3: Cross multiply
    314,274.13x = 433,689.98 × 171,031.10
  4. Step 4: Simplify right side
    314,274.13x = 74,174,472,169.93
  5. Step 5: Solve for x
    x = 74,174,472,169.93/314,274.13
  6. Step 6: Final answer
    x = 236,018.39

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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.