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Finding the Fourth Proportional to 385,711.30, 578,654.19 and 208,214.50

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Solution

The fourth proportional to 385,711.30, 578,654.19 and 208,214.50 is: 312,368.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,711.30 : 578,654.19 = 208,214.50 : x
  2. Step 2: Convert to fraction form
    385,711.30/578,654.19 = 208,214.50/x
  3. Step 3: Cross multiply
    385,711.30x = 578,654.19 × 208,214.50
  4. Step 4: Simplify right side
    385,711.30x = 120,484,192,843.76
  5. Step 5: Solve for x
    x = 120,484,192,843.76/385,711.30
  6. Step 6: Final answer
    x = 312,368.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.