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Finding the Fourth Proportional to 370,600.86, 511,429.14 and 200,835

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Solution

The fourth proportional to 370,600.86, 511,429.14 and 200,835 is: 277,152.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,600.86 : 511,429.14 = 200,835 : x
  2. Step 2: Convert to fraction form
    370,600.86/511,429.14 = 200,835/x
  3. Step 3: Cross multiply
    370,600.86x = 511,429.14 × 200,835
  4. Step 4: Simplify right side
    370,600.86x = 102,712,871,331.90
  5. Step 5: Solve for x
    x = 102,712,871,331.90/370,600.86
  6. Step 6: Final answer
    x = 277,152.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.