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Finding the Fourth Proportional to 362,931, 500,844.80 and 203,955

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Solution

The fourth proportional to 362,931, 500,844.80 and 203,955 is: 281,457.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    362,931 : 500,844.80 = 203,955 : x
  2. Step 2: Convert to fraction form
    362,931/500,844.80 = 203,955/x
  3. Step 3: Cross multiply
    362,931x = 500,844.80 × 203,955
  4. Step 4: Simplify right side
    362,931x = 102,149,801,184
  5. Step 5: Solve for x
    x = 102,149,801,184/362,931
  6. Step 6: Final answer
    x = 281,457.91

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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.