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Finding the Fourth Proportional to 410,783.63, 616,253.21 and 189,167.63

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Solution

The fourth proportional to 410,783.63, 616,253.21 and 189,167.63 is: 283,787.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,783.63 : 616,253.21 = 189,167.63 : x
  2. Step 2: Convert to fraction form
    410,783.63/616,253.21 = 189,167.63/x
  3. Step 3: Cross multiply
    410,783.63x = 616,253.21 × 189,167.63
  4. Step 4: Simplify right side
    410,783.63x = 116,575,155,188.49
  5. Step 5: Solve for x
    x = 116,575,155,188.49/410,783.63
  6. Step 6: Final answer
    x = 283,787.25

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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.