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Finding the Fourth Proportional to 535,837.92, 803,879.52 and 232,282.80

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Solution

The fourth proportional to 535,837.92, 803,879.52 and 232,282.80 is: 348,477.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,837.92 : 803,879.52 = 232,282.80 : x
  2. Step 2: Convert to fraction form
    535,837.92/803,879.52 = 232,282.80/x
  3. Step 3: Cross multiply
    535,837.92x = 803,879.52 × 232,282.80
  4. Step 4: Simplify right side
    535,837.92x = 186,727,385,768.26
  5. Step 5: Solve for x
    x = 186,727,385,768.26/535,837.92
  6. Step 6: Final answer
    x = 348,477.36

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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.