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Finding the Fourth Proportional to 301,716.52, 416,443.62 and 174,373.72

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Solution

The fourth proportional to 301,716.52, 416,443.62 and 174,373.72 is: 240,678.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,716.52 : 416,443.62 = 174,373.72 : x
  2. Step 2: Convert to fraction form
    301,716.52/416,443.62 = 174,373.72/x
  3. Step 3: Cross multiply
    301,716.52x = 416,443.62 × 174,373.72
  4. Step 4: Simplify right side
    301,716.52x = 72,616,823,189.67
  5. Step 5: Solve for x
    x = 72,616,823,189.67/301,716.52
  6. Step 6: Final answer
    x = 240,678.98

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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.