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Finding the Fourth Proportional to 284,976.80, 427,465.20 and 272,842.40

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Solution

The fourth proportional to 284,976.80, 427,465.20 and 272,842.40 is: 409,263.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,976.80 : 427,465.20 = 272,842.40 : x
  2. Step 2: Convert to fraction form
    284,976.80/427,465.20 = 272,842.40/x
  3. Step 3: Cross multiply
    284,976.80x = 427,465.20 × 272,842.40
  4. Step 4: Simplify right side
    284,976.80x = 116,630,631,084.48
  5. Step 5: Solve for x
    x = 116,630,631,084.48/284,976.80
  6. Step 6: Final answer
    x = 409,263.60

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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.