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Finding the Fourth Proportional to 416,719.58, 575,075.80 and 225,732.98

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Solution

The fourth proportional to 416,719.58, 575,075.80 and 225,732.98 is: 311,513.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,719.58 : 575,075.80 = 225,732.98 : x
  2. Step 2: Convert to fraction form
    416,719.58/575,075.80 = 225,732.98/x
  3. Step 3: Cross multiply
    416,719.58x = 575,075.80 × 225,732.98
  4. Step 4: Simplify right side
    416,719.58x = 129,813,574,059.88
  5. Step 5: Solve for x
    x = 129,813,574,059.88/416,719.58
  6. Step 6: Final answer
    x = 311,513.02

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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.