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Finding the Fourth Proportional to 312,193.32, 430,827.84 and 168,953.32

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Solution

The fourth proportional to 312,193.32, 430,827.84 and 168,953.32 is: 233,156.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,193.32 : 430,827.84 = 168,953.32 : x
  2. Step 2: Convert to fraction form
    312,193.32/430,827.84 = 168,953.32/x
  3. Step 3: Cross multiply
    312,193.32x = 430,827.84 × 168,953.32
  4. Step 4: Simplify right side
    312,193.32x = 72,789,793,916.43
  5. Step 5: Solve for x
    x = 72,789,793,916.43/312,193.32
  6. Step 6: Final answer
    x = 233,156.15

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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.