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Finding the Fourth Proportional to 477,956.98, 716,866.26 and 140,980.98

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Solution

The fourth proportional to 477,956.98, 716,866.26 and 140,980.98 is: 211,451.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,956.98 : 716,866.26 = 140,980.98 : x
  2. Step 2: Convert to fraction form
    477,956.98/716,866.26 = 140,980.98/x
  3. Step 3: Cross multiply
    477,956.98x = 716,866.26 × 140,980.98
  4. Step 4: Simplify right side
    477,956.98x = 101,064,507,863.74
  5. Step 5: Solve for x
    x = 101,064,507,863.74/477,956.98
  6. Step 6: Final answer
    x = 211,451.06

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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.