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Finding the Fourth Proportional to 264,893.76, 397,215.90 and 96,295.52

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Solution

The fourth proportional to 264,893.76, 397,215.90 and 96,295.52 is: 144,397.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,893.76 : 397,215.90 = 96,295.52 : x
  2. Step 2: Convert to fraction form
    264,893.76/397,215.90 = 96,295.52/x
  3. Step 3: Cross multiply
    264,893.76x = 397,215.90 × 96,295.52
  4. Step 4: Simplify right side
    264,893.76x = 38,250,111,642.77
  5. Step 5: Solve for x
    x = 38,250,111,642.77/264,893.76
  6. Step 6: Final answer
    x = 144,397.93

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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.