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Finding the Fourth Proportional to 477,140, 658,382.04 and 273,158.72

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Solution

The fourth proportional to 477,140, 658,382.04 and 273,158.72 is: 376,918.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,140 : 658,382.04 = 273,158.72 : x
  2. Step 2: Convert to fraction form
    477,140/658,382.04 = 273,158.72/x
  3. Step 3: Cross multiply
    477,140x = 658,382.04 × 273,158.72
  4. Step 4: Simplify right side
    477,140x = 179,842,795,317.39
  5. Step 5: Solve for x
    x = 179,842,795,317.39/477,140
  6. Step 6: Final answer
    x = 376,918.30

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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.