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Finding the Fourth Proportional to 441,075.56, 661,534 and 116,865.84

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Solution

The fourth proportional to 441,075.56, 661,534 and 116,865.84 is: 175,277.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    441,075.56 : 661,534 = 116,865.84 : x
  2. Step 2: Convert to fraction form
    441,075.56/661,534 = 116,865.84/x
  3. Step 3: Cross multiply
    441,075.56x = 661,534 × 116,865.84
  4. Step 4: Simplify right side
    441,075.56x = 77,310,726,598.56
  5. Step 5: Solve for x
    x = 77,310,726,598.56/441,075.56
  6. Step 6: Final answer
    x = 175,277.74

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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.