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Finding the Fourth Proportional to 472,043.84, 707,912.64 and 156,416

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Solution

The fourth proportional to 472,043.84, 707,912.64 and 156,416 is: 234,573.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,043.84 : 707,912.64 = 156,416 : x
  2. Step 2: Convert to fraction form
    472,043.84/707,912.64 = 156,416/x
  3. Step 3: Cross multiply
    472,043.84x = 707,912.64 × 156,416
  4. Step 4: Simplify right side
    472,043.84x = 110,728,863,498.24
  5. Step 5: Solve for x
    x = 110,728,863,498.24/472,043.84
  6. Step 6: Final answer
    x = 234,573.26

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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.