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Finding the Fourth Proportional to 617,755.48, 926,642.34 and 243,775

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Solution

The fourth proportional to 617,755.48, 926,642.34 and 243,775 is: 365,666.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,755.48 : 926,642.34 = 243,775 : x
  2. Step 2: Convert to fraction form
    617,755.48/926,642.34 = 243,775/x
  3. Step 3: Cross multiply
    617,755.48x = 926,642.34 × 243,775
  4. Step 4: Simplify right side
    617,755.48x = 225,892,236,433.50
  5. Step 5: Solve for x
    x = 225,892,236,433.50/617,755.48
  6. Step 6: Final answer
    x = 365,666.10

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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.