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Finding the Fourth Proportional to 506,492.80, 699,240 and 336,976

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Solution

The fourth proportional to 506,492.80, 699,240 and 336,976 is: 465,213.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,492.80 : 699,240 = 336,976 : x
  2. Step 2: Convert to fraction form
    506,492.80/699,240 = 336,976/x
  3. Step 3: Cross multiply
    506,492.80x = 699,240 × 336,976
  4. Step 4: Simplify right side
    506,492.80x = 235,627,098,240
  5. Step 5: Solve for x
    x = 235,627,098,240/506,492.80
  6. Step 6: Final answer
    x = 465,213.12

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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.