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Finding the Fourth Proportional to 529,411.60, 794,117.40 and 305,462.80

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Solution

The fourth proportional to 529,411.60, 794,117.40 and 305,462.80 is: 458,194.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,411.60 : 794,117.40 = 305,462.80 : x
  2. Step 2: Convert to fraction form
    529,411.60/794,117.40 = 305,462.80/x
  3. Step 3: Cross multiply
    529,411.60x = 794,117.40 × 305,462.80
  4. Step 4: Simplify right side
    529,411.60x = 242,573,324,532.72
  5. Step 5: Solve for x
    x = 242,573,324,532.72/529,411.60
  6. Step 6: Final answer
    x = 458,194.20

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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.