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Finding the Fourth Proportional to 334,141.70, 501,234.39 and 97,464.50

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Solution

The fourth proportional to 334,141.70, 501,234.39 and 97,464.50 is: 146,203.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,141.70 : 501,234.39 = 97,464.50 : x
  2. Step 2: Convert to fraction form
    334,141.70/501,234.39 = 97,464.50/x
  3. Step 3: Cross multiply
    334,141.70x = 501,234.39 × 97,464.50
  4. Step 4: Simplify right side
    334,141.70x = 48,852,559,204.16
  5. Step 5: Solve for x
    x = 48,852,559,204.16/334,141.70
  6. Step 6: Final answer
    x = 146,203.12

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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.