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Finding the Fourth Proportional to 459,004.20, 688,506.30 and 412,348.20

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Solution

The fourth proportional to 459,004.20, 688,506.30 and 412,348.20 is: 618,522.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,004.20 : 688,506.30 = 412,348.20 : x
  2. Step 2: Convert to fraction form
    459,004.20/688,506.30 = 412,348.20/x
  3. Step 3: Cross multiply
    459,004.20x = 688,506.30 × 412,348.20
  4. Step 4: Simplify right side
    459,004.20x = 283,904,333,493.66
  5. Step 5: Solve for x
    x = 283,904,333,493.66/459,004.20
  6. Step 6: Final answer
    x = 618,522.30

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