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Finding the Fourth Proportional to 358,470, 536,883.48 and 208,338.48

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Solution

The fourth proportional to 358,470, 536,883.48 and 208,338.48 is: 312,030.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,470 : 536,883.48 = 208,338.48 : x
  2. Step 2: Convert to fraction form
    358,470/536,883.48 = 208,338.48/x
  3. Step 3: Cross multiply
    358,470x = 536,883.48 × 208,338.48
  4. Step 4: Simplify right side
    358,470x = 111,853,488,160.31
  5. Step 5: Solve for x
    x = 111,853,488,160.31/358,470
  6. Step 6: Final answer
    x = 312,030.26

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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.