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Finding the Fourth Proportional to 337,969, 466,397.64 and 210,644.50

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Solution

The fourth proportional to 337,969, 466,397.64 and 210,644.50 is: 290,689.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,969 : 466,397.64 = 210,644.50 : x
  2. Step 2: Convert to fraction form
    337,969/466,397.64 = 210,644.50/x
  3. Step 3: Cross multiply
    337,969x = 466,397.64 × 210,644.50
  4. Step 4: Simplify right side
    337,969x = 98,244,097,678.98
  5. Step 5: Solve for x
    x = 98,244,097,678.98/337,969
  6. Step 6: Final answer
    x = 290,689.67

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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.