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Finding the Fourth Proportional to 472,438.98, 707,869.53 and 331,946.10

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Solution

The fourth proportional to 472,438.98, 707,869.53 and 331,946.10 is: 497,364.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,438.98 : 707,869.53 = 331,946.10 : x
  2. Step 2: Convert to fraction form
    472,438.98/707,869.53 = 331,946.10/x
  3. Step 3: Cross multiply
    472,438.98x = 707,869.53 × 331,946.10
  4. Step 4: Simplify right side
    472,438.98x = 234,974,529,792.33
  5. Step 5: Solve for x
    x = 234,974,529,792.33/472,438.98
  6. Step 6: Final answer
    x = 497,364.82

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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.