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Finding the Fourth Proportional to 302,907.66, 417,767.18 and 266,530.56

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Solution

The fourth proportional to 302,907.66, 417,767.18 and 266,530.56 is: 367,596.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,907.66 : 417,767.18 = 266,530.56 : x
  2. Step 2: Convert to fraction form
    302,907.66/417,767.18 = 266,530.56/x
  3. Step 3: Cross multiply
    302,907.66x = 417,767.18 × 266,530.56
  4. Step 4: Simplify right side
    302,907.66x = 111,347,720,435.02
  5. Step 5: Solve for x
    x = 111,347,720,435.02/302,907.66
  6. Step 6: Final answer
    x = 367,596.25

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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.