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Finding the Fourth Proportional to 579,461.14, 869,441.46 and 313,408.95

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Solution

The fourth proportional to 579,461.14, 869,441.46 and 313,408.95 is: 470,248.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,461.14 : 869,441.46 = 313,408.95 : x
  2. Step 2: Convert to fraction form
    579,461.14/869,441.46 = 313,408.95/x
  3. Step 3: Cross multiply
    579,461.14x = 869,441.46 × 313,408.95
  4. Step 4: Simplify right side
    579,461.14x = 272,490,732,392.30
  5. Step 5: Solve for x
    x = 272,490,732,392.30/579,461.14
  6. Step 6: Final answer
    x = 470,248.50

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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.