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Finding the Fourth Proportional to 312,193.86, 430,826.01 and 168,953.70

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Solution

The fourth proportional to 312,193.86, 430,826.01 and 168,953.70 is: 233,155.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,193.86 : 430,826.01 = 168,953.70 : x
  2. Step 2: Convert to fraction form
    312,193.86/430,826.01 = 168,953.70/x
  3. Step 3: Cross multiply
    312,193.86x = 430,826.01 × 168,953.70
  4. Step 4: Simplify right side
    312,193.86x = 72,789,648,445.74
  5. Step 5: Solve for x
    x = 72,789,648,445.74/312,193.86
  6. Step 6: Final answer
    x = 233,155.29

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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.