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Finding the Fourth Proportional to 511,146.20, 705,501.95 and 317,700

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Solution

The fourth proportional to 511,146.20, 705,501.95 and 317,700 is: 438,500.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,146.20 : 705,501.95 = 317,700 : x
  2. Step 2: Convert to fraction form
    511,146.20/705,501.95 = 317,700/x
  3. Step 3: Cross multiply
    511,146.20x = 705,501.95 × 317,700
  4. Step 4: Simplify right side
    511,146.20x = 224,137,970,309.25
  5. Step 5: Solve for x
    x = 224,137,970,309.25/511,146.20
  6. Step 6: Final answer
    x = 438,500.71

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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.