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Finding the Fourth Proportional to 456,496.24, 684,744.64 and 172,109.56

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Solution

The fourth proportional to 456,496.24, 684,744.64 and 172,109.56 is: 258,164.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,496.24 : 684,744.64 = 172,109.56 : x
  2. Step 2: Convert to fraction form
    456,496.24/684,744.64 = 172,109.56/x
  3. Step 3: Cross multiply
    456,496.24x = 684,744.64 × 172,109.56
  4. Step 4: Simplify right side
    456,496.24x = 117,851,098,702.76
  5. Step 5: Solve for x
    x = 117,851,098,702.76/456,496.24
  6. Step 6: Final answer
    x = 258,164.45

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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.