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Finding the Fourth Proportional to 462,543.60, 638,076.34 and 309,588.18

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Solution

The fourth proportional to 462,543.60, 638,076.34 and 309,588.18 is: 427,075.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,543.60 : 638,076.34 = 309,588.18 : x
  2. Step 2: Convert to fraction form
    462,543.60/638,076.34 = 309,588.18/x
  3. Step 3: Cross multiply
    462,543.60x = 638,076.34 × 309,588.18
  4. Step 4: Simplify right side
    462,543.60x = 197,540,892,801.66
  5. Step 5: Solve for x
    x = 197,540,892,801.66/462,543.60
  6. Step 6: Final answer
    x = 427,075.18

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