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Finding the Fourth Proportional to 403,648, 557,051.52 and 224,800

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Solution

The fourth proportional to 403,648, 557,051.52 and 224,800 is: 310,233.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,648 : 557,051.52 = 224,800 : x
  2. Step 2: Convert to fraction form
    403,648/557,051.52 = 224,800/x
  3. Step 3: Cross multiply
    403,648x = 557,051.52 × 224,800
  4. Step 4: Simplify right side
    403,648x = 125,225,181,696
  5. Step 5: Solve for x
    x = 125,225,181,696/403,648
  6. Step 6: Final answer
    x = 310,233.62

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Why These Related Problems?

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