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Finding the Fourth Proportional to 227,632.40, 341,448.60 and 77,822.90

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Solution

The fourth proportional to 227,632.40, 341,448.60 and 77,822.90 is: 116,734.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,632.40 : 341,448.60 = 77,822.90 : x
  2. Step 2: Convert to fraction form
    227,632.40/341,448.60 = 77,822.90/x
  3. Step 3: Cross multiply
    227,632.40x = 341,448.60 × 77,822.90
  4. Step 4: Simplify right side
    227,632.40x = 26,572,520,252.94
  5. Step 5: Solve for x
    x = 26,572,520,252.94/227,632.40
  6. Step 6: Final answer
    x = 116,734.35

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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.