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Finding the Fourth Proportional to 343,319.20, 514,978.80 and 284,999.20

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Solution

The fourth proportional to 343,319.20, 514,978.80 and 284,999.20 is: 427,498.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,319.20 : 514,978.80 = 284,999.20 : x
  2. Step 2: Convert to fraction form
    343,319.20/514,978.80 = 284,999.20/x
  3. Step 3: Cross multiply
    343,319.20x = 514,978.80 × 284,999.20
  4. Step 4: Simplify right side
    343,319.20x = 146,768,546,016.96
  5. Step 5: Solve for x
    x = 146,768,546,016.96/343,319.20
  6. Step 6: Final answer
    x = 427,498.80

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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.