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Finding the Fourth Proportional to 385,836.84, 532,363.32 and 224,595

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Solution

The fourth proportional to 385,836.84, 532,363.32 and 224,595 is: 309,887.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,836.84 : 532,363.32 = 224,595 : x
  2. Step 2: Convert to fraction form
    385,836.84/532,363.32 = 224,595/x
  3. Step 3: Cross multiply
    385,836.84x = 532,363.32 × 224,595
  4. Step 4: Simplify right side
    385,836.84x = 119,566,139,855.40
  5. Step 5: Solve for x
    x = 119,566,139,855.40/385,836.84
  6. Step 6: Final answer
    x = 309,887.83

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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.