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Finding the Fourth Proportional to 553,105.67, 762,967.76 and 349,084.08

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Solution

The fourth proportional to 553,105.67, 762,967.76 and 349,084.08 is: 481,535.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,105.67 : 762,967.76 = 349,084.08 : x
  2. Step 2: Convert to fraction form
    553,105.67/762,967.76 = 349,084.08/x
  3. Step 3: Cross multiply
    553,105.67x = 762,967.76 × 349,084.08
  4. Step 4: Simplify right side
    553,105.67x = 266,339,896,823.84
  5. Step 5: Solve for x
    x = 266,339,896,823.84/553,105.67
  6. Step 6: Final answer
    x = 481,535.29

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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.