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Finding the Fourth Proportional to 462,164.40, 637,445.70 and 292,234.50

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Solution

The fourth proportional to 462,164.40, 637,445.70 and 292,234.50 is: 403,067.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,164.40 : 637,445.70 = 292,234.50 : x
  2. Step 2: Convert to fraction form
    462,164.40/637,445.70 = 292,234.50/x
  3. Step 3: Cross multiply
    462,164.40x = 637,445.70 × 292,234.50
  4. Step 4: Simplify right side
    462,164.40x = 186,283,625,416.65
  5. Step 5: Solve for x
    x = 186,283,625,416.65/462,164.40
  6. Step 6: Final answer
    x = 403,067.88

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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.