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Finding the Fourth Proportional to 597,953.93, 897,111.97 and 213,652.46

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Solution

The fourth proportional to 597,953.93, 897,111.97 and 213,652.46 is: 320,543.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,953.93 : 897,111.97 = 213,652.46 : x
  2. Step 2: Convert to fraction form
    597,953.93/897,111.97 = 213,652.46/x
  3. Step 3: Cross multiply
    597,953.93x = 897,111.97 × 213,652.46
  4. Step 4: Simplify right side
    597,953.93x = 191,670,179,285.95
  5. Step 5: Solve for x
    x = 191,670,179,285.95/597,953.93
  6. Step 6: Final answer
    x = 320,543.39

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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.