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Finding the Fourth Proportional to 403,657, 557,063.94 and 224,809

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Solution

The fourth proportional to 403,657, 557,063.94 and 224,809 is: 310,246.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,657 : 557,063.94 = 224,809 : x
  2. Step 2: Convert to fraction form
    403,657/557,063.94 = 224,809/x
  3. Step 3: Cross multiply
    403,657x = 557,063.94 × 224,809
  4. Step 4: Simplify right side
    403,657x = 125,232,987,287.46
  5. Step 5: Solve for x
    x = 125,232,987,287.46/403,657
  6. Step 6: Final answer
    x = 310,246.04

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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.