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Finding the Fourth Proportional to 334,871, 462,122.16 and 183,977.72

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Solution

The fourth proportional to 334,871, 462,122.16 and 183,977.72 is: 253,889.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,871 : 462,122.16 = 183,977.72 : x
  2. Step 2: Convert to fraction form
    334,871/462,122.16 = 183,977.72/x
  3. Step 3: Cross multiply
    334,871x = 462,122.16 × 183,977.72
  4. Step 4: Simplify right side
    334,871x = 85,020,181,358.28
  5. Step 5: Solve for x
    x = 85,020,181,358.28/334,871
  6. Step 6: Final answer
    x = 253,889.35

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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.