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Finding the Fourth Proportional to 610,453.80, 915,680.70 and 311,855.40

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Solution

The fourth proportional to 610,453.80, 915,680.70 and 311,855.40 is: 467,783.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,453.80 : 915,680.70 = 311,855.40 : x
  2. Step 2: Convert to fraction form
    610,453.80/915,680.70 = 311,855.40/x
  3. Step 3: Cross multiply
    610,453.80x = 915,680.70 × 311,855.40
  4. Step 4: Simplify right side
    610,453.80x = 285,559,970,970.78
  5. Step 5: Solve for x
    x = 285,559,970,970.78/610,453.80
  6. Step 6: Final answer
    x = 467,783.10

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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.