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Finding the Fourth Proportional to 464,867.60, 697,059.45 and 165,304.64

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Solution

The fourth proportional to 464,867.60, 697,059.45 and 165,304.64 is: 247,870.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,867.60 : 697,059.45 = 165,304.64 : x
  2. Step 2: Convert to fraction form
    464,867.60/697,059.45 = 165,304.64/x
  3. Step 3: Cross multiply
    464,867.60x = 697,059.45 × 165,304.64
  4. Step 4: Simplify right side
    464,867.60x = 115,227,163,183.50
  5. Step 5: Solve for x
    x = 115,227,163,183.50/464,867.60
  6. Step 6: Final answer
    x = 247,870.93

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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.