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Finding the Fourth Proportional to 233,894.34, 350,838.45 and 56,400.03

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Solution

The fourth proportional to 233,894.34, 350,838.45 and 56,400.03 is: 84,599.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,894.34 : 350,838.45 = 56,400.03 : x
  2. Step 2: Convert to fraction form
    233,894.34/350,838.45 = 56,400.03/x
  3. Step 3: Cross multiply
    233,894.34x = 350,838.45 × 56,400.03
  4. Step 4: Simplify right side
    233,894.34x = 19,787,299,105.15
  5. Step 5: Solve for x
    x = 19,787,299,105.15/233,894.34
  6. Step 6: Final answer
    x = 84,599.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.