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Finding the Fourth Proportional to 348,164, 480,485.76 and 197,309.60

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Solution

The fourth proportional to 348,164, 480,485.76 and 197,309.60 is: 272,298.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,164 : 480,485.76 = 197,309.60 : x
  2. Step 2: Convert to fraction form
    348,164/480,485.76 = 197,309.60/x
  3. Step 3: Cross multiply
    348,164x = 480,485.76 × 197,309.60
  4. Step 4: Simplify right side
    348,164x = 94,804,453,111.30
  5. Step 5: Solve for x
    x = 94,804,453,111.30/348,164
  6. Step 6: Final answer
    x = 272,298.26

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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.