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Finding the Fourth Proportional to 576,005.60, 864,267.60 and 202,296.80

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Solution

The fourth proportional to 576,005.60, 864,267.60 and 202,296.80 is: 303,536.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,005.60 : 864,267.60 = 202,296.80 : x
  2. Step 2: Convert to fraction form
    576,005.60/864,267.60 = 202,296.80/x
  3. Step 3: Cross multiply
    576,005.60x = 864,267.60 × 202,296.80
  4. Step 4: Simplify right side
    576,005.60x = 174,838,569,823.68
  5. Step 5: Solve for x
    x = 174,838,569,823.68/576,005.60
  6. Step 6: Final answer
    x = 303,536.23

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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.