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Finding the Fourth Proportional to 369,988.37, 510,585.54 and 200,222.50

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Solution

The fourth proportional to 369,988.37, 510,585.54 and 200,222.50 is: 276,307.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,988.37 : 510,585.54 = 200,222.50 : x
  2. Step 2: Convert to fraction form
    369,988.37/510,585.54 = 200,222.50/x
  3. Step 3: Cross multiply
    369,988.37x = 510,585.54 × 200,222.50
  4. Step 4: Simplify right side
    369,988.37x = 102,230,710,729.72
  5. Step 5: Solve for x
    x = 102,230,710,729.72/369,988.37
  6. Step 6: Final answer
    x = 276,307.90

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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.