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Finding the Fourth Proportional to 302,855.20, 454,282.80 and 209,543.20

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Solution

The fourth proportional to 302,855.20, 454,282.80 and 209,543.20 is: 314,314.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,855.20 : 454,282.80 = 209,543.20 : x
  2. Step 2: Convert to fraction form
    302,855.20/454,282.80 = 209,543.20/x
  3. Step 3: Cross multiply
    302,855.20x = 454,282.80 × 209,543.20
  4. Step 4: Simplify right side
    302,855.20x = 95,191,871,616.96
  5. Step 5: Solve for x
    x = 95,191,871,616.96/302,855.20
  6. Step 6: Final answer
    x = 314,314.80

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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.