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Finding the Fourth Proportional to 384,030.60, 538,195.80 and 384,030.60

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Solution

The fourth proportional to 384,030.60, 538,195.80 and 384,030.60 is: 538,195.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,030.60 : 538,195.80 = 384,030.60 : x
  2. Step 2: Convert to fraction form
    384,030.60/538,195.80 = 384,030.60/x
  3. Step 3: Cross multiply
    384,030.60x = 538,195.80 × 384,030.60
  4. Step 4: Simplify right side
    384,030.60x = 206,683,655,991.48
  5. Step 5: Solve for x
    x = 206,683,655,991.48/384,030.60
  6. Step 6: Final answer
    x = 538,195.80

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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.