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Finding the Fourth Proportional to 369,999.10, 510,598.76 and 200,233.23

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Solution

The fourth proportional to 369,999.10, 510,598.76 and 200,233.23 is: 276,321.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,999.10 : 510,598.76 = 200,233.23 : x
  2. Step 2: Convert to fraction form
    369,999.10/510,598.76 = 200,233.23/x
  3. Step 3: Cross multiply
    369,999.10x = 510,598.76 × 200,233.23
  4. Step 4: Simplify right side
    369,999.10x = 102,238,838,948.80
  5. Step 5: Solve for x
    x = 102,238,838,948.80/369,999.10
  6. Step 6: Final answer
    x = 276,321.86

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1.5x scale

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.