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Finding the Fourth Proportional to 338,688.90, 467,441.78 and 216,233.60

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Solution

The fourth proportional to 338,688.90, 467,441.78 and 216,233.60 is: 298,434.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,688.90 : 467,441.78 = 216,233.60 : x
  2. Step 2: Convert to fraction form
    338,688.90/467,441.78 = 216,233.60/x
  3. Step 3: Cross multiply
    338,688.90x = 467,441.78 × 216,233.60
  4. Step 4: Simplify right side
    338,688.90x = 101,076,615,461.43
  5. Step 5: Solve for x
    x = 101,076,615,461.43/338,688.90
  6. Step 6: Final answer
    x = 298,434.98

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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.