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Finding the Fourth Proportional to 409,438.80, 614,158.20 and 209,692.80

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Solution

The fourth proportional to 409,438.80, 614,158.20 and 209,692.80 is: 314,539.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,438.80 : 614,158.20 = 209,692.80 : x
  2. Step 2: Convert to fraction form
    409,438.80/614,158.20 = 209,692.80/x
  3. Step 3: Cross multiply
    409,438.80x = 614,158.20 × 209,692.80
  4. Step 4: Simplify right side
    409,438.80x = 128,784,552,600.96
  5. Step 5: Solve for x
    x = 128,784,552,600.96/409,438.80
  6. Step 6: Final answer
    x = 314,539.20

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1.5x scale

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.