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Finding the Fourth Proportional to 600,468, 828,672 and 332,196

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Solution

The fourth proportional to 600,468, 828,672 and 332,196 is: 458,444.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,468 : 828,672 = 332,196 : x
  2. Step 2: Convert to fraction form
    600,468/828,672 = 332,196/x
  3. Step 3: Cross multiply
    600,468x = 828,672 × 332,196
  4. Step 4: Simplify right side
    600,468x = 275,281,523,712
  5. Step 5: Solve for x
    x = 275,281,523,712/600,468
  6. Step 6: Final answer
    x = 458,444.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.