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Finding the Fourth Proportional to 410,624, 616,181.76 and 177,152

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Solution

The fourth proportional to 410,624, 616,181.76 and 177,152 is: 265,834.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,624 : 616,181.76 = 177,152 : x
  2. Step 2: Convert to fraction form
    410,624/616,181.76 = 177,152/x
  3. Step 3: Cross multiply
    410,624x = 616,181.76 × 177,152
  4. Step 4: Simplify right side
    410,624x = 109,157,831,147.52
  5. Step 5: Solve for x
    x = 109,157,831,147.52/410,624
  6. Step 6: Final answer
    x = 265,834.03

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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.