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Finding the Fourth Proportional to 403,821.20, 604,419.60 and 403,821.20

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Solution

The fourth proportional to 403,821.20, 604,419.60 and 403,821.20 is: 604,419.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,821.20 : 604,419.60 = 403,821.20 : x
  2. Step 2: Convert to fraction form
    403,821.20/604,419.60 = 403,821.20/x
  3. Step 3: Cross multiply
    403,821.20x = 604,419.60 × 403,821.20
  4. Step 4: Simplify right side
    403,821.20x = 244,077,448,175.52
  5. Step 5: Solve for x
    x = 244,077,448,175.52/403,821.20
  6. Step 6: Final answer
    x = 604,419.60

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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.