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Finding the Fourth Proportional to 301,565.20, 416,130.52 and 174,238.06

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Solution

The fourth proportional to 301,565.20, 416,130.52 and 174,238.06 is: 240,431.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,565.20 : 416,130.52 = 174,238.06 : x
  2. Step 2: Convert to fraction form
    301,565.20/416,130.52 = 174,238.06/x
  3. Step 3: Cross multiply
    301,565.20x = 416,130.52 × 174,238.06
  4. Step 4: Simplify right side
    301,565.20x = 72,505,771,559.75
  5. Step 5: Solve for x
    x = 72,505,771,559.75/301,565.20
  6. Step 6: Final answer
    x = 240,431.50

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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.