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Finding the Fourth Proportional to 337,654.34, 465,507 and 216,585.46

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Solution

The fourth proportional to 337,654.34, 465,507 and 216,585.46 is: 298,595.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    337,654.34 : 465,507 = 216,585.46 : x
  2. Step 2: Convert to fraction form
    337,654.34/465,507 = 216,585.46/x
  3. Step 3: Cross multiply
    337,654.34x = 465,507 × 216,585.46
  4. Step 4: Simplify right side
    337,654.34x = 100,822,047,728.22
  5. Step 5: Solve for x
    x = 100,822,047,728.22/337,654.34
  6. Step 6: Final answer
    x = 298,595.44

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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.