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Finding the Fourth Proportional to 465,337.62, 697,978.62 and 165,802.32

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Solution

The fourth proportional to 465,337.62, 697,978.62 and 165,802.32 is: 248,693.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,337.62 : 697,978.62 = 165,802.32 : x
  2. Step 2: Convert to fraction form
    465,337.62/697,978.62 = 165,802.32/x
  3. Step 3: Cross multiply
    465,337.62x = 697,978.62 × 165,802.32
  4. Step 4: Simplify right side
    465,337.62x = 115,726,474,506.40
  5. Step 5: Solve for x
    x = 115,726,474,506.40/465,337.62
  6. Step 6: Final answer
    x = 248,693.57

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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.