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Finding the Fourth Proportional to 301,857.18, 416,538.54 and 174,541.02

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Solution

The fourth proportional to 301,857.18, 416,538.54 and 174,541.02 is: 240,852.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,857.18 : 416,538.54 = 174,541.02 : x
  2. Step 2: Convert to fraction form
    301,857.18/416,538.54 = 174,541.02/x
  3. Step 3: Cross multiply
    301,857.18x = 416,538.54 × 174,541.02
  4. Step 4: Simplify right side
    301,857.18x = 72,703,061,640.91
  5. Step 5: Solve for x
    x = 72,703,061,640.91/301,857.18
  6. Step 6: Final answer
    x = 240,852.52

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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.