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Finding the Fourth Proportional to 302,719.25, 417,752.67 and 175,468.66

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Solution

The fourth proportional to 302,719.25, 417,752.67 and 175,468.66 is: 242,146.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,719.25 : 417,752.67 = 175,468.66 : x
  2. Step 2: Convert to fraction form
    302,719.25/417,752.67 = 175,468.66/x
  3. Step 3: Cross multiply
    302,719.25x = 417,752.67 × 175,468.66
  4. Step 4: Simplify right side
    302,719.25x = 73,302,501,216.32
  5. Step 5: Solve for x
    x = 73,302,501,216.32/302,719.25
  6. Step 6: Final answer
    x = 242,146.81

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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.