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Finding the Fourth Proportional to 429,172.48, 591,846.60 and 257,062.96

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Solution

The fourth proportional to 429,172.48, 591,846.60 and 257,062.96 is: 354,500.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,172.48 : 591,846.60 = 257,062.96 : x
  2. Step 2: Convert to fraction form
    429,172.48/591,846.60 = 257,062.96/x
  3. Step 3: Cross multiply
    429,172.48x = 591,846.60 × 257,062.96
  4. Step 4: Simplify right side
    429,172.48x = 152,141,838,861.94
  5. Step 5: Solve for x
    x = 152,141,838,861.94/429,172.48
  6. Step 6: Final answer
    x = 354,500.45

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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.