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Finding the Fourth Proportional to 385,307.20, 531,710.88 and 213,232.45

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Solution

The fourth proportional to 385,307.20, 531,710.88 and 213,232.45 is: 294,253.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,307.20 : 531,710.88 = 213,232.45 : x
  2. Step 2: Convert to fraction form
    385,307.20/531,710.88 = 213,232.45/x
  3. Step 3: Cross multiply
    385,307.20x = 531,710.88 × 213,232.45
  4. Step 4: Simplify right side
    385,307.20x = 113,378,013,701.55
  5. Step 5: Solve for x
    x = 113,378,013,701.55/385,307.20
  6. Step 6: Final answer
    x = 294,253.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.