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Finding the Fourth Proportional to 465,953.34, 698,752.65 and 166,378.14

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Solution

The fourth proportional to 465,953.34, 698,752.65 and 166,378.14 is: 249,503.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,953.34 : 698,752.65 = 166,378.14 : x
  2. Step 2: Convert to fraction form
    465,953.34/698,752.65 = 166,378.14/x
  3. Step 3: Cross multiply
    465,953.34x = 698,752.65 × 166,378.14
  4. Step 4: Simplify right side
    465,953.34x = 116,257,166,227.07
  5. Step 5: Solve for x
    x = 116,257,166,227.07/465,953.34
  6. Step 6: Final answer
    x = 249,503.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.