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Finding the Fourth Proportional to 284,322.83, 426,600.25 and 183,173.74

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Solution

The fourth proportional to 284,322.83, 426,600.25 and 183,173.74 is: 274,835.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,322.83 : 426,600.25 = 183,173.74 : x
  2. Step 2: Convert to fraction form
    284,322.83/426,600.25 = 183,173.74/x
  3. Step 3: Cross multiply
    284,322.83x = 426,600.25 × 183,173.74
  4. Step 4: Simplify right side
    284,322.83x = 78,141,963,277.44
  5. Step 5: Solve for x
    x = 78,141,963,277.44/284,322.83
  6. Step 6: Final answer
    x = 274,835.35

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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.