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Finding the Fourth Proportional to 410,784.63, 616,254.71 and 189,168.63

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Solution

The fourth proportional to 410,784.63, 616,254.71 and 189,168.63 is: 283,788.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,784.63 : 616,254.71 = 189,168.63 : x
  2. Step 2: Convert to fraction form
    410,784.63/616,254.71 = 189,168.63/x
  3. Step 3: Cross multiply
    410,784.63x = 616,254.71 × 189,168.63
  4. Step 4: Simplify right side
    410,784.63x = 116,576,059,221.75
  5. Step 5: Solve for x
    x = 116,576,059,221.75/410,784.63
  6. Step 6: Final answer
    x = 283,788.76

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1.5x scale

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.