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Finding the Fourth Proportional to 298,534.82, 411,968.53 and 177,648.39

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Solution

The fourth proportional to 298,534.82, 411,968.53 and 177,648.39 is: 245,149.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,534.82 : 411,968.53 = 177,648.39 : x
  2. Step 2: Convert to fraction form
    298,534.82/411,968.53 = 177,648.39/x
  3. Step 3: Cross multiply
    298,534.82x = 411,968.53 × 177,648.39
  4. Step 4: Simplify right side
    298,534.82x = 73,185,546,307.23
  5. Step 5: Solve for x
    x = 73,185,546,307.23/298,534.82
  6. Step 6: Final answer
    x = 245,149.12

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1.5x scale

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.