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Finding the Fourth Proportional to 284,726.40, 427,089.60 and 180,009.60

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Solution

The fourth proportional to 284,726.40, 427,089.60 and 180,009.60 is: 270,014.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,726.40 : 427,089.60 = 180,009.60 : x
  2. Step 2: Convert to fraction form
    284,726.40/427,089.60 = 180,009.60/x
  3. Step 3: Cross multiply
    284,726.40x = 427,089.60 × 180,009.60
  4. Step 4: Simplify right side
    284,726.40x = 76,880,228,060.16
  5. Step 5: Solve for x
    x = 76,880,228,060.16/284,726.40
  6. Step 6: Final answer
    x = 270,014.40

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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.