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Finding the Fourth Proportional to 386,756.17, 533,713.21 and 214,673.64

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Solution

The fourth proportional to 386,756.17, 533,713.21 and 214,673.64 is: 296,243.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,756.17 : 533,713.21 = 214,673.64 : x
  2. Step 2: Convert to fraction form
    386,756.17/533,713.21 = 214,673.64/x
  3. Step 3: Cross multiply
    386,756.17x = 533,713.21 × 214,673.64
  4. Step 4: Simplify right side
    386,756.17x = 114,574,157,506.78
  5. Step 5: Solve for x
    x = 114,574,157,506.78/386,756.17
  6. Step 6: Final answer
    x = 296,243.90

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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.