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Finding the Fourth Proportional to 442,298.82, 610,353.02 and 270,505.10

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Solution

The fourth proportional to 442,298.82, 610,353.02 and 270,505.10 is: 373,285.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,298.82 : 610,353.02 = 270,505.10 : x
  2. Step 2: Convert to fraction form
    442,298.82/610,353.02 = 270,505.10/x
  3. Step 3: Cross multiply
    442,298.82x = 610,353.02 × 270,505.10
  4. Step 4: Simplify right side
    442,298.82x = 165,103,604,710.40
  5. Step 5: Solve for x
    x = 165,103,604,710.40/442,298.82
  6. Step 6: Final answer
    x = 373,285.20

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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.