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Finding the Fourth Proportional to 337,973, 466,403.16 and 210,648.50

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Solution

The fourth proportional to 337,973, 466,403.16 and 210,648.50 is: 290,695.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,973 : 466,403.16 = 210,648.50 : x
  2. Step 2: Convert to fraction form
    337,973/466,403.16 = 210,648.50/x
  3. Step 3: Cross multiply
    337,973x = 466,403.16 × 210,648.50
  4. Step 4: Simplify right side
    337,973x = 98,247,126,049.26
  5. Step 5: Solve for x
    x = 98,247,126,049.26/337,973
  6. Step 6: Final answer
    x = 290,695.19

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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.