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Finding the Fourth Proportional to 501,902.72, 692,630.74 and 272,461.78

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Solution

The fourth proportional to 501,902.72, 692,630.74 and 272,461.78 is: 375,999.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,902.72 : 692,630.74 = 272,461.78 : x
  2. Step 2: Convert to fraction form
    501,902.72/692,630.74 = 272,461.78/x
  3. Step 3: Cross multiply
    501,902.72x = 692,630.74 × 272,461.78
  4. Step 4: Simplify right side
    501,902.72x = 188,715,404,303.12
  5. Step 5: Solve for x
    x = 188,715,404,303.12/501,902.72
  6. Step 6: Final answer
    x = 375,999.96

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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.