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Finding the Fourth Proportional to 715,200.40, 987,175.20 and 409,448.08

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Solution

The fourth proportional to 715,200.40, 987,175.20 and 409,448.08 is: 565,152.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,200.40 : 987,175.20 = 409,448.08 : x
  2. Step 2: Convert to fraction form
    715,200.40/987,175.20 = 409,448.08/x
  3. Step 3: Cross multiply
    715,200.40x = 987,175.20 × 409,448.08
  4. Step 4: Simplify right side
    715,200.40x = 404,196,990,263.62
  5. Step 5: Solve for x
    x = 404,196,990,263.62/715,200.40
  6. Step 6: Final answer
    x = 565,152.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.