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Finding the Fourth Proportional to 385,853.22, 577,743.03 and 314,483.31

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Solution

The fourth proportional to 385,853.22, 577,743.03 and 314,483.31 is: 470,879.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,853.22 : 577,743.03 = 314,483.31 : x
  2. Step 2: Convert to fraction form
    385,853.22/577,743.03 = 314,483.31/x
  3. Step 3: Cross multiply
    385,853.22x = 577,743.03 × 314,483.31
  4. Step 4: Simplify right side
    385,853.22x = 181,690,540,403.83
  5. Step 5: Solve for x
    x = 181,690,540,403.83/385,853.22
  6. Step 6: Final answer
    x = 470,879.94

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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.