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Finding the Fourth Proportional to 313,548.60, 432,695.34 and 170,307.48

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Solution

The fourth proportional to 313,548.60, 432,695.34 and 170,307.48 is: 235,023.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,548.60 : 432,695.34 = 170,307.48 : x
  2. Step 2: Convert to fraction form
    313,548.60/432,695.34 = 170,307.48/x
  3. Step 3: Cross multiply
    313,548.60x = 432,695.34 × 170,307.48
  4. Step 4: Simplify right side
    313,548.60x = 73,691,252,963.14
  5. Step 5: Solve for x
    x = 73,691,252,963.14/313,548.60
  6. Step 6: Final answer
    x = 235,023.38

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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.