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Finding the Fourth Proportional to 529,419.60, 794,129.40 and 305,470.80

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Solution

The fourth proportional to 529,419.60, 794,129.40 and 305,470.80 is: 458,206.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,419.60 : 794,129.40 = 305,470.80 : x
  2. Step 2: Convert to fraction form
    529,419.60/794,129.40 = 305,470.80/x
  3. Step 3: Cross multiply
    529,419.60x = 794,129.40 × 305,470.80
  4. Step 4: Simplify right side
    529,419.60x = 242,583,343,121.52
  5. Step 5: Solve for x
    x = 242,583,343,121.52/529,419.60
  6. Step 6: Final answer
    x = 458,206.20

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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.