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Finding the Fourth Proportional to 416,731.76, 574,973.12 and 261,699.76

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Solution

The fourth proportional to 416,731.76, 574,973.12 and 261,699.76 is: 361,072.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,731.76 : 574,973.12 = 261,699.76 : x
  2. Step 2: Convert to fraction form
    416,731.76/574,973.12 = 261,699.76/x
  3. Step 3: Cross multiply
    416,731.76x = 574,973.12 × 261,699.76
  4. Step 4: Simplify right side
    416,731.76x = 150,470,327,510.45
  5. Step 5: Solve for x
    x = 150,470,327,510.45/416,731.76
  6. Step 6: Final answer
    x = 361,072.38

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1.5x scale

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.