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Finding the Fourth Proportional to 430,140, 593,593.20 and 241,724

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Solution

The fourth proportional to 430,140, 593,593.20 and 241,724 is: 333,579.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,140 : 593,593.20 = 241,724 : x
  2. Step 2: Convert to fraction form
    430,140/593,593.20 = 241,724/x
  3. Step 3: Cross multiply
    430,140x = 593,593.20 × 241,724
  4. Step 4: Simplify right side
    430,140x = 143,485,722,676.80
  5. Step 5: Solve for x
    x = 143,485,722,676.80/430,140
  6. Step 6: Final answer
    x = 333,579.12

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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.