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Finding the Fourth Proportional to 410,050.80, 614,577.50 and 290,142.30

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Solution

The fourth proportional to 410,050.80, 614,577.50 and 290,142.30 is: 434,860.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,050.80 : 614,577.50 = 290,142.30 : x
  2. Step 2: Convert to fraction form
    410,050.80/614,577.50 = 290,142.30/x
  3. Step 3: Cross multiply
    410,050.80x = 614,577.50 × 290,142.30
  4. Step 4: Simplify right side
    410,050.80x = 178,314,929,378.25
  5. Step 5: Solve for x
    x = 178,314,929,378.25/410,050.80
  6. Step 6: Final answer
    x = 434,860.58

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