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Finding the Fourth Proportional to 302,732.74, 417,752.85 and 175,386.34

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Solution

The fourth proportional to 302,732.74, 417,752.85 and 175,386.34 is: 242,022.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,732.74 : 417,752.85 = 175,386.34 : x
  2. Step 2: Convert to fraction form
    302,732.74/417,752.85 = 175,386.34/x
  3. Step 3: Cross multiply
    302,732.74x = 417,752.85 × 175,386.34
  4. Step 4: Simplify right side
    302,732.74x = 73,268,143,386.07
  5. Step 5: Solve for x
    x = 73,268,143,386.07/302,732.74
  6. Step 6: Final answer
    x = 242,022.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.