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Finding the Fourth Proportional to 467,830.56, 645,605.72 and 252,970.11

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Solution

The fourth proportional to 467,830.56, 645,605.72 and 252,970.11 is: 349,098.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,830.56 : 645,605.72 = 252,970.11 : x
  2. Step 2: Convert to fraction form
    467,830.56/645,605.72 = 252,970.11/x
  3. Step 3: Cross multiply
    467,830.56x = 645,605.72 × 252,970.11
  4. Step 4: Simplify right side
    467,830.56x = 163,318,950,005.03
  5. Step 5: Solve for x
    x = 163,318,950,005.03/467,830.56
  6. Step 6: Final answer
    x = 349,098.51

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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.