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Finding the Fourth Proportional to 315,235.80, 435,025.26 and 202,058.46

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Solution

The fourth proportional to 315,235.80, 435,025.26 and 202,058.46 is: 278,840.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,235.80 : 435,025.26 = 202,058.46 : x
  2. Step 2: Convert to fraction form
    315,235.80/435,025.26 = 202,058.46/x
  3. Step 3: Cross multiply
    315,235.80x = 435,025.26 × 202,058.46
  4. Step 4: Simplify right side
    315,235.80x = 87,900,534,096.70
  5. Step 5: Solve for x
    x = 87,900,534,096.70/315,235.80
  6. Step 6: Final answer
    x = 278,840.58

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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.