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Finding the Fourth Proportional to 302,461.40, 417,372 and 175,145.24

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Solution

The fourth proportional to 302,461.40, 417,372 and 175,145.24 is: 241,686.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,461.40 : 417,372 = 175,145.24 : x
  2. Step 2: Convert to fraction form
    302,461.40/417,372 = 175,145.24/x
  3. Step 3: Cross multiply
    302,461.40x = 417,372 × 175,145.24
  4. Step 4: Simplify right side
    302,461.40x = 73,100,719,109.28
  5. Step 5: Solve for x
    x = 73,100,719,109.28/302,461.40
  6. Step 6: Final answer
    x = 241,686.11

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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.