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Finding the Fourth Proportional to 398,746.56, 598,152.24 and 118,263

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Solution

The fourth proportional to 398,746.56, 598,152.24 and 118,263 is: 177,404.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,746.56 : 598,152.24 = 118,263 : x
  2. Step 2: Convert to fraction form
    398,746.56/598,152.24 = 118,263/x
  3. Step 3: Cross multiply
    398,746.56x = 598,152.24 × 118,263
  4. Step 4: Simplify right side
    398,746.56x = 70,739,278,359.12
  5. Step 5: Solve for x
    x = 70,739,278,359.12/398,746.56
  6. Step 6: Final answer
    x = 177,404.11

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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.