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Finding the Fourth Proportional to 228,715.38, 343,008 and 144,349.29

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Solution

The fourth proportional to 228,715.38, 343,008 and 144,349.29 is: 216,482.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,715.38 : 343,008 = 144,349.29 : x
  2. Step 2: Convert to fraction form
    228,715.38/343,008 = 144,349.29/x
  3. Step 3: Cross multiply
    228,715.38x = 343,008 × 144,349.29
  4. Step 4: Simplify right side
    228,715.38x = 49,512,961,264.32
  5. Step 5: Solve for x
    x = 49,512,961,264.32/228,715.38
  6. Step 6: Final answer
    x = 216,482.87

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