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Finding the Fourth Proportional to 375,169.50, 517,783.32 and 213,987.60

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Solution

The fourth proportional to 375,169.50, 517,783.32 and 213,987.60 is: 295,331.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,169.50 : 517,783.32 = 213,987.60 : x
  2. Step 2: Convert to fraction form
    375,169.50/517,783.32 = 213,987.60/x
  3. Step 3: Cross multiply
    375,169.50x = 517,783.32 × 213,987.60
  4. Step 4: Simplify right side
    375,169.50x = 110,799,209,966.83
  5. Step 5: Solve for x
    x = 110,799,209,966.83/375,169.50
  6. Step 6: Final answer
    x = 295,331.07

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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.