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Finding the Fourth Proportional to 334,384.56, 501,654.60 and 97,730.64

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Solution

The fourth proportional to 334,384.56, 501,654.60 and 97,730.64 is: 146,618.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,384.56 : 501,654.60 = 97,730.64 : x
  2. Step 2: Convert to fraction form
    334,384.56/501,654.60 = 97,730.64/x
  3. Step 3: Cross multiply
    334,384.56x = 501,654.60 × 97,730.64
  4. Step 4: Simplify right side
    334,384.56x = 49,027,025,116.94
  5. Step 5: Solve for x
    x = 49,027,025,116.94/334,384.56
  6. Step 6: Final answer
    x = 146,618.69

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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.