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Finding the Fourth Proportional to 418,089.80, 577,203.30 and 275,265

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Solution

The fourth proportional to 418,089.80, 577,203.30 and 275,265 is: 380,023.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,089.80 : 577,203.30 = 275,265 : x
  2. Step 2: Convert to fraction form
    418,089.80/577,203.30 = 275,265/x
  3. Step 3: Cross multiply
    418,089.80x = 577,203.30 × 275,265
  4. Step 4: Simplify right side
    418,089.80x = 158,883,866,374.50
  5. Step 5: Solve for x
    x = 158,883,866,374.50/418,089.80
  6. Step 6: Final answer
    x = 380,023.30

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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.