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Finding the Fourth Proportional to 302,402.68, 417,261.90 and 175,072.12

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Solution

The fourth proportional to 302,402.68, 417,261.90 and 175,072.12 is: 241,568.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,402.68 : 417,261.90 = 175,072.12 : x
  2. Step 2: Convert to fraction form
    302,402.68/417,261.90 = 175,072.12/x
  3. Step 3: Cross multiply
    302,402.68x = 417,261.90 × 175,072.12
  4. Step 4: Simplify right side
    302,402.68x = 73,050,925,428.23
  5. Step 5: Solve for x
    x = 73,050,925,428.23/302,402.68
  6. Step 6: Final answer
    x = 241,568.38

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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.