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Finding the Fourth Proportional to 312,265.26, 430,925.94 and 169,026.48

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Solution

The fourth proportional to 312,265.26, 430,925.94 and 169,026.48 is: 233,256.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,265.26 : 430,925.94 = 169,026.48 : x
  2. Step 2: Convert to fraction form
    312,265.26/430,925.94 = 169,026.48/x
  3. Step 3: Cross multiply
    312,265.26x = 430,925.94 × 169,026.48
  4. Step 4: Simplify right side
    312,265.26x = 72,837,894,778.89
  5. Step 5: Solve for x
    x = 72,837,894,778.89/312,265.26
  6. Step 6: Final answer
    x = 233,256.48

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.