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Finding the Fourth Proportional to 461,860.88, 692,273.12 and 302,243.92

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Solution

The fourth proportional to 461,860.88, 692,273.12 and 302,243.92 is: 453,026.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,860.88 : 692,273.12 = 302,243.92 : x
  2. Step 2: Convert to fraction form
    461,860.88/692,273.12 = 302,243.92/x
  3. Step 3: Cross multiply
    461,860.88x = 692,273.12 × 302,243.92
  4. Step 4: Simplify right side
    461,860.88x = 209,235,341,499.43
  5. Step 5: Solve for x
    x = 209,235,341,499.43/461,860.88
  6. Step 6: Final answer
    x = 453,026.77

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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.