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Finding the Fourth Proportional to 464,973.80, 697,460.70 and 165,792.20

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Solution

The fourth proportional to 464,973.80, 697,460.70 and 165,792.20 is: 248,688.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,973.80 : 697,460.70 = 165,792.20 : x
  2. Step 2: Convert to fraction form
    464,973.80/697,460.70 = 165,792.20/x
  3. Step 3: Cross multiply
    464,973.80x = 697,460.70 × 165,792.20
  4. Step 4: Simplify right side
    464,973.80x = 115,633,543,866.54
  5. Step 5: Solve for x
    x = 115,633,543,866.54/464,973.80
  6. Step 6: Final answer
    x = 248,688.30

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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.