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Finding the Fourth Proportional to 465,802.64, 698,851.65 and 166,276.79

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Solution

The fourth proportional to 465,802.64, 698,851.65 and 166,276.79 is: 249,467.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,802.64 : 698,851.65 = 166,276.79 : x
  2. Step 2: Convert to fraction form
    465,802.64/698,851.65 = 166,276.79/x
  3. Step 3: Cross multiply
    465,802.64x = 698,851.65 × 166,276.79
  4. Step 4: Simplify right side
    465,802.64x = 116,202,809,048.20
  5. Step 5: Solve for x
    x = 116,202,809,048.20/465,802.64
  6. Step 6: Final answer
    x = 249,467.91

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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.