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Finding the Fourth Proportional to 380,130.80, 524,581.90 and 205,701.02

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Solution

The fourth proportional to 380,130.80, 524,581.90 and 205,701.02 is: 283,868.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,130.80 : 524,581.90 = 205,701.02 : x
  2. Step 2: Convert to fraction form
    380,130.80/524,581.90 = 205,701.02/x
  3. Step 3: Cross multiply
    380,130.80x = 524,581.90 × 205,701.02
  4. Step 4: Simplify right side
    380,130.80x = 107,907,031,903.54
  5. Step 5: Solve for x
    x = 107,907,031,903.54/380,130.80
  6. Step 6: Final answer
    x = 283,868.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.