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Finding the Fourth Proportional to 464,933, 697,399.50 and 114,725

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Solution

The fourth proportional to 464,933, 697,399.50 and 114,725 is: 172,087.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,933 : 697,399.50 = 114,725 : x
  2. Step 2: Convert to fraction form
    464,933/697,399.50 = 114,725/x
  3. Step 3: Cross multiply
    464,933x = 697,399.50 × 114,725
  4. Step 4: Simplify right side
    464,933x = 80,009,157,637.50
  5. Step 5: Solve for x
    x = 80,009,157,637.50/464,933
  6. Step 6: Final answer
    x = 172,087.50

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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.