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Finding the Fourth Proportional to 310,651.75, 466,075.43 and 110,967.71

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Solution

The fourth proportional to 310,651.75, 466,075.43 and 110,967.71 is: 166,486.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,651.75 : 466,075.43 = 110,967.71 : x
  2. Step 2: Convert to fraction form
    310,651.75/466,075.43 = 110,967.71/x
  3. Step 3: Cross multiply
    310,651.75x = 466,075.43 × 110,967.71
  4. Step 4: Simplify right side
    310,651.75x = 51,719,323,154.37
  5. Step 5: Solve for x
    x = 51,719,323,154.37/310,651.75
  6. Step 6: Final answer
    x = 166,486.50

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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.