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Finding the Fourth Proportional to 318,507.76, 477,830.76 and 96,886

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Solution

The fourth proportional to 318,507.76, 477,830.76 and 96,886 is: 145,350.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,507.76 : 477,830.76 = 96,886 : x
  2. Step 2: Convert to fraction form
    318,507.76/477,830.76 = 96,886/x
  3. Step 3: Cross multiply
    318,507.76x = 477,830.76 × 96,886
  4. Step 4: Simplify right side
    318,507.76x = 46,295,111,013.36
  5. Step 5: Solve for x
    x = 46,295,111,013.36/318,507.76
  6. Step 6: Final answer
    x = 145,350.03

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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.