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Finding the Fourth Proportional to 314,650.43, 471,967.01 and 77,987.87

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Solution

The fourth proportional to 314,650.43, 471,967.01 and 77,987.87 is: 116,979.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,650.43 : 471,967.01 = 77,987.87 : x
  2. Step 2: Convert to fraction form
    314,650.43/471,967.01 = 77,987.87/x
  3. Step 3: Cross multiply
    314,650.43x = 471,967.01 × 77,987.87
  4. Step 4: Simplify right side
    314,650.43x = 36,807,701,430.23
  5. Step 5: Solve for x
    x = 36,807,701,430.23/314,650.43
  6. Step 6: Final answer
    x = 116,979.66

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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.