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Finding the Fourth Proportional to 482,983.44, 723,532.68 and 316,266

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Solution

The fourth proportional to 482,983.44, 723,532.68 and 316,266 is: 473,781.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,983.44 : 723,532.68 = 316,266 : x
  2. Step 2: Convert to fraction form
    482,983.44/723,532.68 = 316,266/x
  3. Step 3: Cross multiply
    482,983.44x = 723,532.68 × 316,266
  4. Step 4: Simplify right side
    482,983.44x = 228,828,786,572.88
  5. Step 5: Solve for x
    x = 228,828,786,572.88/482,983.44
  6. Step 6: Final answer
    x = 473,781.85

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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.