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Finding the Fourth Proportional to 410,783.13, 616,252.45 and 189,167.13

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Solution

The fourth proportional to 410,783.13, 616,252.45 and 189,167.13 is: 283,786.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,783.13 : 616,252.45 = 189,167.13 : x
  2. Step 2: Convert to fraction form
    410,783.13/616,252.45 = 189,167.13/x
  3. Step 3: Cross multiply
    410,783.13x = 616,252.45 × 189,167.13
  4. Step 4: Simplify right side
    410,783.13x = 116,574,707,321.97
  5. Step 5: Solve for x
    x = 116,574,707,321.97/410,783.13
  6. Step 6: Final answer
    x = 283,786.50

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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.