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Finding the Fourth Proportional to 348,476, 480,822.72 and 205,183.76

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Solution

The fourth proportional to 348,476, 480,822.72 and 205,183.76 is: 283,109.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,476 : 480,822.72 = 205,183.76 : x
  2. Step 2: Convert to fraction form
    348,476/480,822.72 = 205,183.76/x
  3. Step 3: Cross multiply
    348,476x = 480,822.72 × 205,183.76
  4. Step 4: Simplify right side
    348,476x = 98,657,013,583.03
  5. Step 5: Solve for x
    x = 98,657,013,583.03/348,476
  6. Step 6: Final answer
    x = 283,109.92

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Why These Related Problems?

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