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Finding the Fourth Proportional to 514,863.04, 770,678.88 and 354,000.28

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Solution

The fourth proportional to 514,863.04, 770,678.88 and 354,000.28 is: 529,889.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,863.04 : 770,678.88 = 354,000.28 : x
  2. Step 2: Convert to fraction form
    514,863.04/770,678.88 = 354,000.28/x
  3. Step 3: Cross multiply
    514,863.04x = 770,678.88 × 354,000.28
  4. Step 4: Simplify right side
    514,863.04x = 272,820,539,310.09
  5. Step 5: Solve for x
    x = 272,820,539,310.09/514,863.04
  6. Step 6: Final answer
    x = 529,889.54

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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.