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Finding the Fourth Proportional to 316,349.82, 473,928.64 and 156,238.34

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Solution

The fourth proportional to 316,349.82, 473,928.64 and 156,238.34 is: 234,063.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,349.82 : 473,928.64 = 156,238.34 : x
  2. Step 2: Convert to fraction form
    316,349.82/473,928.64 = 156,238.34/x
  3. Step 3: Cross multiply
    316,349.82x = 473,928.64 × 156,238.34
  4. Step 4: Simplify right side
    316,349.82x = 74,045,821,231.82
  5. Step 5: Solve for x
    x = 74,045,821,231.82/316,349.82
  6. Step 6: Final answer
    x = 234,063.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.