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Finding the Fourth Proportional to 322,225.63, 483,475.13 and 172,427.06

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Solution

The fourth proportional to 322,225.63, 483,475.13 and 172,427.06 is: 258,713.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,225.63 : 483,475.13 = 172,427.06 : x
  2. Step 2: Convert to fraction form
    322,225.63/483,475.13 = 172,427.06/x
  3. Step 3: Cross multiply
    322,225.63x = 483,475.13 × 172,427.06
  4. Step 4: Simplify right side
    322,225.63x = 83,364,196,242.17
  5. Step 5: Solve for x
    x = 83,364,196,242.17/322,225.63
  6. Step 6: Final answer
    x = 258,713.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.