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Finding the Fourth Proportional to 465,338.62, 697,980.12 and 165,803.32

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Solution

The fourth proportional to 465,338.62, 697,980.12 and 165,803.32 is: 248,695.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,338.62 : 697,980.12 = 165,803.32 : x
  2. Step 2: Convert to fraction form
    465,338.62/697,980.12 = 165,803.32/x
  3. Step 3: Cross multiply
    465,338.62x = 697,980.12 × 165,803.32
  4. Step 4: Simplify right side
    465,338.62x = 115,727,421,190.00
  5. Step 5: Solve for x
    x = 115,727,421,190.00/465,338.62
  6. Step 6: Final answer
    x = 248,695.07

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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.