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Finding the Fourth Proportional to 422,851.50, 583,841.34 and 272,210.94

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Solution

The fourth proportional to 422,851.50, 583,841.34 and 272,210.94 is: 375,848.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,851.50 : 583,841.34 = 272,210.94 : x
  2. Step 2: Convert to fraction form
    422,851.50/583,841.34 = 272,210.94/x
  3. Step 3: Cross multiply
    422,851.50x = 583,841.34 × 272,210.94
  4. Step 4: Simplify right side
    422,851.50x = 158,927,999,972.26
  5. Step 5: Solve for x
    x = 158,927,999,972.26/422,851.50
  6. Step 6: Final answer
    x = 375,848.26

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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.