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Finding the Fourth Proportional to 317,443.83, 438,083.64 and 174,205.05

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Solution

The fourth proportional to 317,443.83, 438,083.64 and 174,205.05 is: 240,409.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,443.83 : 438,083.64 = 174,205.05 : x
  2. Step 2: Convert to fraction form
    317,443.83/438,083.64 = 174,205.05/x
  3. Step 3: Cross multiply
    317,443.83x = 438,083.64 × 174,205.05
  4. Step 4: Simplify right side
    317,443.83x = 76,316,382,410.38
  5. Step 5: Solve for x
    x = 76,316,382,410.38/317,443.83
  6. Step 6: Final answer
    x = 240,409.09

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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.