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Finding the Fourth Proportional to 376,411.70, 564,617.55 and 165,826.10

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Solution

The fourth proportional to 376,411.70, 564,617.55 and 165,826.10 is: 248,739.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,411.70 : 564,617.55 = 165,826.10 : x
  2. Step 2: Convert to fraction form
    376,411.70/564,617.55 = 165,826.10/x
  3. Step 3: Cross multiply
    376,411.70x = 564,617.55 × 165,826.10
  4. Step 4: Simplify right side
    376,411.70x = 93,628,326,308.06
  5. Step 5: Solve for x
    x = 93,628,326,308.06/376,411.70
  6. Step 6: Final answer
    x = 248,739.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.