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Finding the Fourth Proportional to 482,595.84, 723,893.76 and 442,782.72

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Solution

The fourth proportional to 482,595.84, 723,893.76 and 442,782.72 is: 664,174.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,595.84 : 723,893.76 = 442,782.72 : x
  2. Step 2: Convert to fraction form
    482,595.84/723,893.76 = 442,782.72/x
  3. Step 3: Cross multiply
    482,595.84x = 723,893.76 × 442,782.72
  4. Step 4: Simplify right side
    482,595.84x = 320,527,648,043.83
  5. Step 5: Solve for x
    x = 320,527,648,043.83/482,595.84
  6. Step 6: Final answer
    x = 664,174.08

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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.