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Finding the Fourth Proportional to 535,152.72, 802,495.49 and 202,495.44

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Solution

The fourth proportional to 535,152.72, 802,495.49 and 202,495.44 is: 303,654.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,152.72 : 802,495.49 = 202,495.44 : x
  2. Step 2: Convert to fraction form
    535,152.72/802,495.49 = 202,495.44/x
  3. Step 3: Cross multiply
    535,152.72x = 802,495.49 × 202,495.44
  4. Step 4: Simplify right side
    535,152.72x = 162,501,677,345.57
  5. Step 5: Solve for x
    x = 162,501,677,345.57/535,152.72
  6. Step 6: Final answer
    x = 303,654.77

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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.