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Finding the Fourth Proportional to 492,564.30, 738,846.45 and 282,029.10

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Solution

The fourth proportional to 492,564.30, 738,846.45 and 282,029.10 is: 423,043.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,564.30 : 738,846.45 = 282,029.10 : x
  2. Step 2: Convert to fraction form
    492,564.30/738,846.45 = 282,029.10/x
  3. Step 3: Cross multiply
    492,564.30x = 738,846.45 × 282,029.10
  4. Step 4: Simplify right side
    492,564.30x = 208,376,199,331.70
  5. Step 5: Solve for x
    x = 208,376,199,331.70/492,564.30
  6. Step 6: Final answer
    x = 423,043.65

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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.