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Finding the Fourth Proportional to 310,582.86, 465,878.59 and 204,644.98

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Solution

The fourth proportional to 310,582.86, 465,878.59 and 204,644.98 is: 306,970.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,582.86 : 465,878.59 = 204,644.98 : x
  2. Step 2: Convert to fraction form
    310,582.86/465,878.59 = 204,644.98/x
  3. Step 3: Cross multiply
    310,582.86x = 465,878.59 × 204,644.98
  4. Step 4: Simplify right side
    310,582.86x = 95,339,714,803.71
  5. Step 5: Solve for x
    x = 95,339,714,803.71/310,582.86
  6. Step 6: Final answer
    x = 306,970.31

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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.