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Finding the Fourth Proportional to 372,602.42, 514,191.42 and 202,836.50

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Solution

The fourth proportional to 372,602.42, 514,191.42 and 202,836.50 is: 279,914.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,602.42 : 514,191.42 = 202,836.50 : x
  2. Step 2: Convert to fraction form
    372,602.42/514,191.42 = 202,836.50/x
  3. Step 3: Cross multiply
    372,602.42x = 514,191.42 × 202,836.50
  4. Step 4: Simplify right side
    372,602.42x = 104,296,787,962.83
  5. Step 5: Solve for x
    x = 104,296,787,962.83/372,602.42
  6. Step 6: Final answer
    x = 279,914.41

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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.