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Finding the Fourth Proportional to 510,895.56, 705,068.16 and 284,540.52

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Solution

The fourth proportional to 510,895.56, 705,068.16 and 284,540.52 is: 392,683.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,895.56 : 705,068.16 = 284,540.52 : x
  2. Step 2: Convert to fraction form
    510,895.56/705,068.16 = 284,540.52/x
  3. Step 3: Cross multiply
    510,895.56x = 705,068.16 × 284,540.52
  4. Step 4: Simplify right side
    510,895.56x = 200,620,460,881.84
  5. Step 5: Solve for x
    x = 200,620,460,881.84/510,895.56
  6. Step 6: Final answer
    x = 392,683.90

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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.