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Finding the Fourth Proportional to 472,636.20, 709,472.70 and 295,343.40

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Solution

The fourth proportional to 472,636.20, 709,472.70 and 295,343.40 is: 443,339.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,636.20 : 709,472.70 = 295,343.40 : x
  2. Step 2: Convert to fraction form
    472,636.20/709,472.70 = 295,343.40/x
  3. Step 3: Cross multiply
    472,636.20x = 709,472.70 × 295,343.40
  4. Step 4: Simplify right side
    472,636.20x = 209,538,079,425.18
  5. Step 5: Solve for x
    x = 209,538,079,425.18/472,636.20
  6. Step 6: Final answer
    x = 443,339.04

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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.