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Finding the Fourth Proportional to 546,835.28, 820,252.91 and 346,506.08

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Solution

The fourth proportional to 546,835.28, 820,252.91 and 346,506.08 is: 519,759.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,835.28 : 820,252.91 = 346,506.08 : x
  2. Step 2: Convert to fraction form
    546,835.28/820,252.91 = 346,506.08/x
  3. Step 3: Cross multiply
    546,835.28x = 820,252.91 × 346,506.08
  4. Step 4: Simplify right side
    546,835.28x = 284,222,617,217.69
  5. Step 5: Solve for x
    x = 284,222,617,217.69/546,835.28
  6. Step 6: Final answer
    x = 519,759.11

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Why These Related Problems?

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