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Finding the Fourth Proportional to 461,746.60, 693,138.30 and 357,029.80

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Solution

The fourth proportional to 461,746.60, 693,138.30 and 357,029.80 is: 535,945.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,746.60 : 693,138.30 = 357,029.80 : x
  2. Step 2: Convert to fraction form
    461,746.60/693,138.30 = 357,029.80/x
  3. Step 3: Cross multiply
    461,746.60x = 693,138.30 × 357,029.80
  4. Step 4: Simplify right side
    461,746.60x = 247,471,028,621.34
  5. Step 5: Solve for x
    x = 247,471,028,621.34/461,746.60
  6. Step 6: Final answer
    x = 535,945.54

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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.