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Finding the Fourth Proportional to 456,784.22, 630,348.54 and 252,843.50

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Solution

The fourth proportional to 456,784.22, 630,348.54 and 252,843.50 is: 348,916.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,784.22 : 630,348.54 = 252,843.50 : x
  2. Step 2: Convert to fraction form
    456,784.22/630,348.54 = 252,843.50/x
  3. Step 3: Cross multiply
    456,784.22x = 630,348.54 × 252,843.50
  4. Step 4: Simplify right side
    456,784.22x = 159,379,531,073.49
  5. Step 5: Solve for x
    x = 159,379,531,073.49/456,784.22
  6. Step 6: Final answer
    x = 348,916.46

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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.