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Finding the Fourth Proportional to 650,364.88, 975,858.36 and 229,838.80

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Solution

The fourth proportional to 650,364.88, 975,858.36 and 229,838.80 is: 344,868.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,364.88 : 975,858.36 = 229,838.80 : x
  2. Step 2: Convert to fraction form
    650,364.88/975,858.36 = 229,838.80/x
  3. Step 3: Cross multiply
    650,364.88x = 975,858.36 × 229,838.80
  4. Step 4: Simplify right side
    650,364.88x = 224,290,114,432.37
  5. Step 5: Solve for x
    x = 224,290,114,432.37/650,364.88
  6. Step 6: Final answer
    x = 344,868.12

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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.