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Finding the Fourth Proportional to 334,064.62, 501,043.59 and 97,351.93

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Solution

The fourth proportional to 334,064.62, 501,043.59 and 97,351.93 is: 146,012.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,064.62 : 501,043.59 = 97,351.93 : x
  2. Step 2: Convert to fraction form
    334,064.62/501,043.59 = 97,351.93/x
  3. Step 3: Cross multiply
    334,064.62x = 501,043.59 × 97,351.93
  4. Step 4: Simplify right side
    334,064.62x = 48,777,560,500.63
  5. Step 5: Solve for x
    x = 48,777,560,500.63/334,064.62
  6. Step 6: Final answer
    x = 146,012.35

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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.