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Finding the Fourth Proportional to 315,693.60, 435,666.54 and 172,456.02

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Solution

The fourth proportional to 315,693.60, 435,666.54 and 172,456.02 is: 237,994.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,693.60 : 435,666.54 = 172,456.02 : x
  2. Step 2: Convert to fraction form
    315,693.60/435,666.54 = 172,456.02/x
  3. Step 3: Cross multiply
    315,693.60x = 435,666.54 × 172,456.02
  4. Step 4: Simplify right side
    315,693.60x = 75,133,317,535.57
  5. Step 5: Solve for x
    x = 75,133,317,535.57/315,693.60
  6. Step 6: Final answer
    x = 237,994.43

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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.