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Finding the Fourth Proportional to 284,582.54, 426,858.42 and 144,337.52

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Solution

The fourth proportional to 284,582.54, 426,858.42 and 144,337.52 is: 216,498.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,582.54 : 426,858.42 = 144,337.52 : x
  2. Step 2: Convert to fraction form
    284,582.54/426,858.42 = 144,337.52/x
  3. Step 3: Cross multiply
    284,582.54x = 426,858.42 × 144,337.52
  4. Step 4: Simplify right side
    284,582.54x = 61,611,685,733.92
  5. Step 5: Solve for x
    x = 61,611,685,733.92/284,582.54
  6. Step 6: Final answer
    x = 216,498.47

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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.