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Finding the Fourth Proportional to 348,511, 480,871.02 and 205,218.76

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Solution

The fourth proportional to 348,511, 480,871.02 and 205,218.76 is: 283,158.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    348,511 : 480,871.02 = 205,218.76 : x
  2. Step 2: Convert to fraction form
    348,511/480,871.02 = 205,218.76/x
  3. Step 3: Cross multiply
    348,511x = 480,871.02 × 205,218.76
  4. Step 4: Simplify right side
    348,511x = 98,683,754,444.34
  5. Step 5: Solve for x
    x = 98,683,754,444.34/348,511
  6. Step 6: Final answer
    x = 283,158.22

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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.