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Finding the Fourth Proportional to 351,164.76, 526,747.14 and 164,307.48

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Solution

The fourth proportional to 351,164.76, 526,747.14 and 164,307.48 is: 246,461.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,164.76 : 526,747.14 = 164,307.48 : x
  2. Step 2: Convert to fraction form
    351,164.76/526,747.14 = 164,307.48/x
  3. Step 3: Cross multiply
    351,164.76x = 526,747.14 × 164,307.48
  4. Step 4: Simplify right side
    351,164.76x = 86,548,495,170.61
  5. Step 5: Solve for x
    x = 86,548,495,170.61/351,164.76
  6. Step 6: Final answer
    x = 246,461.22

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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.