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Finding the Fourth Proportional to 435,644.01, 601,181.14 and 242,053.50

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Solution

The fourth proportional to 435,644.01, 601,181.14 and 242,053.50 is: 334,029.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,644.01 : 601,181.14 = 242,053.50 : x
  2. Step 2: Convert to fraction form
    435,644.01/601,181.14 = 242,053.50/x
  3. Step 3: Cross multiply
    435,644.01x = 601,181.14 × 242,053.50
  4. Step 4: Simplify right side
    435,644.01x = 145,517,999,070.99
  5. Step 5: Solve for x
    x = 145,517,999,070.99/435,644.01
  6. Step 6: Final answer
    x = 334,029.61

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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.