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Finding the Fourth Proportional to 348,512, 480,872.40 and 205,219.76

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Solution

The fourth proportional to 348,512, 480,872.40 and 205,219.76 is: 283,159.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,512 : 480,872.40 = 205,219.76 : x
  2. Step 2: Convert to fraction form
    348,512/480,872.40 = 205,219.76/x
  3. Step 3: Cross multiply
    348,512x = 480,872.40 × 205,219.76
  4. Step 4: Simplify right side
    348,512x = 98,684,518,518.62
  5. Step 5: Solve for x
    x = 98,684,518,518.62/348,512
  6. Step 6: Final answer
    x = 283,159.60

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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.