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Finding the Fourth Proportional to 465,830.14, 698,892.90 and 166,304.30

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Solution

The fourth proportional to 465,830.14, 698,892.90 and 166,304.30 is: 249,509.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,830.14 : 698,892.90 = 166,304.30 : x
  2. Step 2: Convert to fraction form
    465,830.14/698,892.90 = 166,304.30/x
  3. Step 3: Cross multiply
    465,830.14x = 698,892.90 × 166,304.30
  4. Step 4: Simplify right side
    465,830.14x = 116,228,894,509.47
  5. Step 5: Solve for x
    x = 116,228,894,509.47/465,830.14
  6. Step 6: Final answer
    x = 249,509.18

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Why These Related Problems?

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