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Finding the Fourth Proportional to 381,206.60, 571,809.90 and 171,254.60

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Solution

The fourth proportional to 381,206.60, 571,809.90 and 171,254.60 is: 256,881.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,206.60 : 571,809.90 = 171,254.60 : x
  2. Step 2: Convert to fraction form
    381,206.60/571,809.90 = 171,254.60/x
  3. Step 3: Cross multiply
    381,206.60x = 571,809.90 × 171,254.60
  4. Step 4: Simplify right side
    381,206.60x = 97,925,075,700.54
  5. Step 5: Solve for x
    x = 97,925,075,700.54/381,206.60
  6. Step 6: Final answer
    x = 256,881.90

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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.