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Finding the Fourth Proportional to 299,582.32, 413,233.76 and 227,804.98

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Solution

The fourth proportional to 299,582.32, 413,233.76 and 227,804.98 is: 314,226.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,582.32 : 413,233.76 = 227,804.98 : x
  2. Step 2: Convert to fraction form
    299,582.32/413,233.76 = 227,804.98/x
  3. Step 3: Cross multiply
    299,582.32x = 413,233.76 × 227,804.98
  4. Step 4: Simplify right side
    299,582.32x = 94,136,708,432.12
  5. Step 5: Solve for x
    x = 94,136,708,432.12/299,582.32
  6. Step 6: Final answer
    x = 314,226.52

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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.