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Finding the Fourth Proportional to 348,121, 480,407.46 and 197,228.20

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Solution

The fourth proportional to 348,121, 480,407.46 and 197,228.20 is: 272,175.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,121 : 480,407.46 = 197,228.20 : x
  2. Step 2: Convert to fraction form
    348,121/480,407.46 = 197,228.20/x
  3. Step 3: Cross multiply
    348,121x = 480,407.46 × 197,228.20
  4. Step 4: Simplify right side
    348,121x = 94,749,898,602.37
  5. Step 5: Solve for x
    x = 94,749,898,602.37/348,121
  6. Step 6: Final answer
    x = 272,175.19

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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.