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Finding the Fourth Proportional to 510,266.16, 764,305.74 and 415,044.36

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Solution

The fourth proportional to 510,266.16, 764,305.74 and 415,044.36 is: 621,677.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,266.16 : 764,305.74 = 415,044.36 : x
  2. Step 2: Convert to fraction form
    510,266.16/764,305.74 = 415,044.36/x
  3. Step 3: Cross multiply
    510,266.16x = 764,305.74 × 415,044.36
  4. Step 4: Simplify right side
    510,266.16x = 317,220,786,702.63
  5. Step 5: Solve for x
    x = 317,220,786,702.63/510,266.16
  6. Step 6: Final answer
    x = 621,677.10

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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.