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Finding the Fourth Proportional to 434,205.80, 651,308.70 and 401,028.20

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Solution

The fourth proportional to 434,205.80, 651,308.70 and 401,028.20 is: 601,542.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,205.80 : 651,308.70 = 401,028.20 : x
  2. Step 2: Convert to fraction form
    434,205.80/651,308.70 = 401,028.20/x
  3. Step 3: Cross multiply
    434,205.80x = 651,308.70 × 401,028.20
  4. Step 4: Simplify right side
    434,205.80x = 261,193,155,605.34
  5. Step 5: Solve for x
    x = 261,193,155,605.34/434,205.80
  6. Step 6: Final answer
    x = 601,542.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.