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Finding the Fourth Proportional to 302,715.32, 417,747.10 and 175,464.72

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Solution

The fourth proportional to 302,715.32, 417,747.10 and 175,464.72 is: 242,141.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,715.32 : 417,747.10 = 175,464.72 : x
  2. Step 2: Convert to fraction form
    302,715.32/417,747.10 = 175,464.72/x
  3. Step 3: Cross multiply
    302,715.32x = 417,747.10 × 175,464.72
  4. Step 4: Simplify right side
    302,715.32x = 73,299,877,932.31
  5. Step 5: Solve for x
    x = 73,299,877,932.31/302,715.32
  6. Step 6: Final answer
    x = 242,141.29

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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.