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Finding the Fourth Proportional to 384,057.60, 538,233.60 and 384,057.60

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Solution

The fourth proportional to 384,057.60, 538,233.60 and 384,057.60 is: 538,233.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,057.60 : 538,233.60 = 384,057.60 : x
  2. Step 2: Convert to fraction form
    384,057.60/538,233.60 = 384,057.60/x
  3. Step 3: Cross multiply
    384,057.60x = 538,233.60 × 384,057.60
  4. Step 4: Simplify right side
    384,057.60x = 206,712,704,655.36
  5. Step 5: Solve for x
    x = 206,712,704,655.36/384,057.60
  6. Step 6: Final answer
    x = 538,233.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.