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Finding the Fourth Proportional to 231,953.66, 347,339.72 and 152,828.06

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Solution

The fourth proportional to 231,953.66, 347,339.72 and 152,828.06 is: 228,852.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,953.66 : 347,339.72 = 152,828.06 : x
  2. Step 2: Convert to fraction form
    231,953.66/347,339.72 = 152,828.06/x
  3. Step 3: Cross multiply
    231,953.66x = 347,339.72 × 152,828.06
  4. Step 4: Simplify right side
    231,953.66x = 53,083,255,568.54
  5. Step 5: Solve for x
    x = 53,083,255,568.54/231,953.66
  6. Step 6: Final answer
    x = 228,852.85

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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.