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Finding the Fourth Proportional to 534,646.56, 802,009.20 and 179,658

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Solution

The fourth proportional to 534,646.56, 802,009.20 and 179,658 is: 269,500.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,646.56 : 802,009.20 = 179,658 : x
  2. Step 2: Convert to fraction form
    534,646.56/802,009.20 = 179,658/x
  3. Step 3: Cross multiply
    534,646.56x = 802,009.20 × 179,658
  4. Step 4: Simplify right side
    534,646.56x = 144,087,368,853.60
  5. Step 5: Solve for x
    x = 144,087,368,853.60/534,646.56
  6. Step 6: Final answer
    x = 269,500.23

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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.