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Finding the Fourth Proportional to 347,941.71, 480,114.68 and 204,649.47

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Solution

The fourth proportional to 347,941.71, 480,114.68 and 204,649.47 is: 282,389.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,941.71 : 480,114.68 = 204,649.47 : x
  2. Step 2: Convert to fraction form
    347,941.71/480,114.68 = 204,649.47/x
  3. Step 3: Cross multiply
    347,941.71x = 480,114.68 × 204,649.47
  4. Step 4: Simplify right side
    347,941.71x = 98,255,213,777.97
  5. Step 5: Solve for x
    x = 98,255,213,777.97/347,941.71
  6. Step 6: Final answer
    x = 282,389.87

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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.