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Finding the Fourth Proportional to 369,094.50, 509,204.61 and 233,077.68

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Solution

The fourth proportional to 369,094.50, 509,204.61 and 233,077.68 is: 321,555.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,094.50 : 509,204.61 = 233,077.68 : x
  2. Step 2: Convert to fraction form
    369,094.50/509,204.61 = 233,077.68/x
  3. Step 3: Cross multiply
    369,094.50x = 509,204.61 × 233,077.68
  4. Step 4: Simplify right side
    369,094.50x = 118,684,229,144.11
  5. Step 5: Solve for x
    x = 118,684,229,144.11/369,094.50
  6. Step 6: Final answer
    x = 321,555.13

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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.