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Finding the Fourth Proportional to 522,965.80, 721,657.03 and 293,496.04

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Solution

The fourth proportional to 522,965.80, 721,657.03 and 293,496.04 is: 405,004.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,965.80 : 721,657.03 = 293,496.04 : x
  2. Step 2: Convert to fraction form
    522,965.80/721,657.03 = 293,496.04/x
  3. Step 3: Cross multiply
    522,965.80x = 721,657.03 × 293,496.04
  4. Step 4: Simplify right side
    522,965.80x = 211,803,475,467.40
  5. Step 5: Solve for x
    x = 211,803,475,467.40/522,965.80
  6. Step 6: Final answer
    x = 405,004.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.