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Finding the Fourth Proportional to 460,595.46, 690,893.19 and 179,915.88

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Solution

The fourth proportional to 460,595.46, 690,893.19 and 179,915.88 is: 269,873.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,595.46 : 690,893.19 = 179,915.88 : x
  2. Step 2: Convert to fraction form
    460,595.46/690,893.19 = 179,915.88/x
  3. Step 3: Cross multiply
    460,595.46x = 690,893.19 × 179,915.88
  4. Step 4: Simplify right side
    460,595.46x = 124,302,656,264.86
  5. Step 5: Solve for x
    x = 124,302,656,264.86/460,595.46
  6. Step 6: Final answer
    x = 269,873.82

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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.