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Finding the Fourth Proportional to 472,716, 708,676.29 and 219,868.02

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Solution

The fourth proportional to 472,716, 708,676.29 and 219,868.02 is: 329,617.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,716 : 708,676.29 = 219,868.02 : x
  2. Step 2: Convert to fraction form
    472,716/708,676.29 = 219,868.02/x
  3. Step 3: Cross multiply
    472,716x = 708,676.29 × 219,868.02
  4. Step 4: Simplify right side
    472,716x = 155,815,252,703.25
  5. Step 5: Solve for x
    x = 155,815,252,703.25/472,716
  6. Step 6: Final answer
    x = 329,617.05

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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.