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Finding the Fourth Proportional to 469,820.13, 648,356.54 and 254,962.05

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Solution

The fourth proportional to 469,820.13, 648,356.54 and 254,962.05 is: 351,850.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,820.13 : 648,356.54 = 254,962.05 : x
  2. Step 2: Convert to fraction form
    469,820.13/648,356.54 = 254,962.05/x
  3. Step 3: Cross multiply
    469,820.13x = 648,356.54 × 254,962.05
  4. Step 4: Simplify right side
    469,820.13x = 165,306,311,294.50
  5. Step 5: Solve for x
    x = 165,306,311,294.50/469,820.13
  6. Step 6: Final answer
    x = 351,850.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.