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Finding the Fourth Proportional to 609,600, 841,248 and 341,333.76

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Solution

The fourth proportional to 609,600, 841,248 and 341,333.76 is: 471,040.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,600 : 841,248 = 341,333.76 : x
  2. Step 2: Convert to fraction form
    609,600/841,248 = 341,333.76/x
  3. Step 3: Cross multiply
    609,600x = 841,248 × 341,333.76
  4. Step 4: Simplify right side
    609,600x = 287,146,342,932.48
  5. Step 5: Solve for x
    x = 287,146,342,932.48/609,600
  6. Step 6: Final answer
    x = 471,040.59

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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.