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Finding the Fourth Proportional to 510,038.64, 765,059.31 and 243,738.59

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Solution

The fourth proportional to 510,038.64, 765,059.31 and 243,738.59 is: 365,608.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,038.64 : 765,059.31 = 243,738.59 : x
  2. Step 2: Convert to fraction form
    510,038.64/765,059.31 = 243,738.59/x
  3. Step 3: Cross multiply
    510,038.64x = 765,059.31 × 243,738.59
  4. Step 4: Simplify right side
    510,038.64x = 186,474,473,660.48
  5. Step 5: Solve for x
    x = 186,474,473,660.48/510,038.64
  6. Step 6: Final answer
    x = 365,608.52

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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.